All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
CAT Exam  >  CAT Questions  >   If then the matrix A is a/an:a)Singular m... Start Learning for Free
SaveJoin the Discussion on the App
If then the matrix A is a/an:
  • a)
    Singular matrix
  • b)
    Involuntary matrix
  • c)
    Nilpotent matrix
  • d)
    Idempotent matrix
Correct answer is option 'B'. Can you explain this answer?
FREE This question is part of
Download PDF Attempt Test
Download PDF Attempt this Test
Most Upvoted Answer
If then the matrix A is a/an:a)Singular matrixb)Involuntary matrix...
Singular Matrix: Any square matrix of order n is said to be singular if |A| = 0.
Involuntary Matrix: Any square matrix of order n is said to be an involuntary matrix if A2 = I, where I is the identity matrix of order n.
Nilpotent Matrix: Any square matrix of order n is said to be nilpotent matrix if there exist least positive integer m such that Am = O, where O is the null matrix of order n.
Idempotent Matrix: Any square matrix of order n is said to be an idempotent matrix if A2 = A.
Hence, A is an involuntary matrix as A2 = I.
Hence, the correct option is (B).
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
< Previous Question Next Question >
Explore Courses for CAT exam

Similar CAT Doubts

Computer programmer Thomas A. Anderson leads a secret life as a hacker under the alias "Neo" and wishes to learn the answer to the question "What is the Matrix?" Cryptic messages appearing on his computer monitor and encounters with three sinister agents lead him to a group led by the mysterious underground hacker Morpheus, a man who offers him the chance to learn the truth about the Matrix. During his encounter with the agents, they implant a hidden tracking bug in his physical body intended to expose the location of Morpheus and the underground. Other hackers working for Morpheus, led by a woman named Trinity, find Neo. En route to bringing him to see Morpheus, they expose and remove the tracking bug implanted by the agents. Morpheus gives Neo a choice between two pills: red to learn the truth, blue to return to the world as he knows it. Neo accepts by swallowing the offered red pill, and he subsequently finds himself in a liquid-filled pod, his body connected by wires and tubes to a vast mechanical tower covered with identical pods. The connections are severed, and he is rescued by Morpheus and taken aboard his hovercraft, the Nebuchadnezzar. Neos neglected physical body is restored, and Morpheus explains the situation.Morpheus informs Neo that the year is not 1999, but estimated to be closer to 2199, and that humanity is fighting a war against intelligent machines created in the early 21st century. The sky is covered by thick black clouds created by the humans in an attempt to cut off the machines supply of solar power. The machines responded by using human beings as their energy source in conjunction with nuclear fusion, later growing countless people in pods and harvesting their bioelectrical energy and body heat. The world which Neo has inhabited since birth is the Matrix, an illusory simulated reality construct of the world as it was in 1999, developed by the machines to keep the human population docile in their captivity. Morpheus and his crew belong to a group of free humans who "unplug" others from the Matrix and recruit them to their resistance against the machines. Within the Matrix, they are able to use their understanding of its nature to bend the laws of physics within the simulation, giving them superhuman abilities. Morpheus believes that Neo is "the One”, a man prophesied to end the war through his limitless control over the Matrix.Neo is trained to become a member of the group. A socket in the back of Neos skull, formerly used to connect him to the Matrix, allows knowledge to be uploaded directly into his mind. In this way, he learns numerous martial arts disciplines, and demonstrates his kung fu skills by sparring with Morpheus in a virtual reality "construct" environment similar to the Matrix, impressing the crew with his speed. Further training introduces Neo to the key dangers in the Matrix itself. Injuries suffered there, while not real, can cause enough trauma that they are fatal: if he is killed in the Matrix, his physical body will also die. He is warned of the presence of Agents, fast and powerful sentient computer programs with the ability to take over the virtual body of anyone still directly connected to the Matrix, whose purpose is to seek out and eliminate any threats to the simulation. Morpheus is confident that once Neo fully understands his own abilities as "the One", they will be no match for him.Q. On swallowing the red pill, why does Neo find himself in a liquid filled pod?

Computer programmer Thomas A. Anderson leads a secret life as a hacker under the alias Neo and wishes to learn the answer to the question What is the Matrix? Cryptic messages appearing on his computer monitor and encounters with three sinister agents lead him to a group led by the mysterious underground hacker Morpheus, a man who offers him the chance to learn the truth about the Matrix. During his encounter with the agents, they implant a hidden tracking bug in his physical body intended to expose the location of Morpheus and the underground. Other hackers working for Morpheus, led by a woman named Trinity, find Neo. En route to bringing him to see Morpheus, they expose and remove the tracking bug implanted by the agents. Morpheus gives Neo a choice between two pills: red to learn the truth, blue to return to the world as he knows it. Neo accepts by swallowing the offered red pill, and he subsequently finds himself in a liquid-filled pod, his body connected by wires and tubes to a vast mechanical tower covered with identical pods. The connections are severed, and he is rescued by Morpheus and taken aboard his hovercraft, the Nebuchadnezzar. Neos neglected physical body is restored, and Morpheus explains the situation.Morpheus informs Neo that the year is not 1999, but estimated to be closer to 2199, and that humanity is fighting a war against intelligent machines created in the early 21st century. The sky is covered by thick black clouds created by the humans in an attempt to cut off the machines supply of solar power. The machines responded by using human beings as their energy source in conjunction with nuclear fusion, later growing countless people in pods and harvesting their bioelectrical energy and body heat. The world which Neo has inhabited since birth is the Matrix, an illusory simulated reality construct of the world as it was in 1999, developed by the machines to keep the human population docile in their captivity. Morpheus and his crew belong to a group of free humans who unplug others from the Matrix and recruit them to their resistance against the machines. Within the Matrix, they are able to use their understanding of its nature to bend the laws of physics within the simulation, giving them superhuman abilities. Morpheus believes that Neo is the One, a man prophesied to end the war through his limitless control over the Matrix.Neo is trained to become a member of the group. A socket in the back of Neos skull, formerly used to connect him to the Matrix, allows knowledge to be uploaded directly into his mind. In this way, he learns numerous martial arts disciplines, and demonstrates his kung fu skills by sparring with Morpheus in a virtual reality construct environment similar to the Matrix, impressing the crew with his speed. Further training introduces Neo to the key dangers in the Matrix itself. Injuries suffered there, while not real, can cause enough trauma that they are fatal: if he is killed in the Matrix, his physical body will also die. He is warned of the presence of Agents, fast and powerful sentient computer programs with the ability to take over the virtual body of anyone still directly connected to the Matrix, whose purpose is to seek out and eliminate any threats to the simulation. Morpheus is confident that once Neo fully understands his own abilities as the One, they will be no match for him.Q. What would be a suitable title for the passage?

Top Courses for CATView all

Top Courses for CAT

If then the matrix A is a/an:a)Singular matrixb)Involuntary matrixc)Nilpotent matrixd)Idempotent matrixCorrect answer is option 'B'. Can you explain this answer?
Question Description
If then the matrix A is a/an:a)Singular matrixb)Involuntary matrixc)Nilpotent matrixd)Idempotent matrixCorrect answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about If then the matrix A is a/an:a)Singular matrixb)Involuntary matrixc)Nilpotent matrixd)Idempotent matrixCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If then the matrix A is a/an:a)Singular matrixb)Involuntary matrixc)Nilpotent matrixd)Idempotent matrixCorrect answer is option 'B'. Can you explain this answer?.
Solutions for If then the matrix A is a/an:a)Singular matrixb)Involuntary matrixc)Nilpotent matrixd)Idempotent matrixCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of If then the matrix A is a/an:a)Singular matrixb)Involuntary matrixc)Nilpotent matrixd)Idempotent matrixCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of If then the matrix A is a/an:a)Singular matrixb)Involuntary matrixc)Nilpotent matrixd)Idempotent matrixCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for If then the matrix A is a/an:a)Singular matrixb)Involuntary matrixc)Nilpotent matrixd)Idempotent matrixCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of If then the matrix A is a/an:a)Singular matrixb)Involuntary matrixc)Nilpotent matrixd)Idempotent matrixCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice If then the matrix A is a/an:a)Singular matrixb)Involuntary matrixc)Nilpotent matrixd)Idempotent matrixCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

Explore Courses

Suggested Free Tests

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Get App
© EduRev
Education Revolution
Follow Us
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup