JEE Exam > JEE Questions > Let A and B be any two 3 × 3 symmetric ...
Start Learning for Free
Let A and B be any two 3 × 3 symmetric and skew-symmetric matrices, respectively. Then which of the following is NOT true?
- a)A4 - B4 is a symmetric matrix.
- b)AB - BA is a symmetric matrix.
- c)B5 - A5 is a skew-symmetric matrix.
- d)AB + BA is a skew-symmetric matrix.
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Let A and B be any two 3 × 3 symmetric and skew-symmetric matric...
Given: AT = A, BT = -B
From option 1:
Let C = A4 - B4
CT = (A4 - B4) = (A4)T - (B4)T = A4 - B4 = C
From option 2:
Let C = AB - BA
CT = (AB - BA)T = (AB)T - (BA)T
= BTAT - ATBT = -BA + AB = C
From option 3:
Let C = B5 - A5
CT = (B5 - A5)T = (B5)T - (A5)T = -B5 - A5
From option 4:
Let C = AB + BA
CT = (AB + BA)T = (AB)T + (BA)T
= -BA - AB = -C
∴ Option 3 is not true.
From option 1:
Let C = A4 - B4
CT = (A4 - B4) = (A4)T - (B4)T = A4 - B4 = C
From option 2:
Let C = AB - BA
CT = (AB - BA)T = (AB)T - (BA)T
= BTAT - ATBT = -BA + AB = C
From option 3:
Let C = B5 - A5
CT = (B5 - A5)T = (B5)T - (A5)T = -B5 - A5
From option 4:
Let C = AB + BA
CT = (AB + BA)T = (AB)T + (BA)T
= -BA - AB = -C
∴ Option 3 is not true.
Most Upvoted Answer
Let A and B be any two 3 × 3 symmetric and skew-symmetric matric...
Sorry, but I can't generate a response without a complete question or statement. Could you please provide more details or clarify your request?
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
Let A and B be any two 3 × 3 symmetric and skew-symmetric matrices, respectively. Then which of the following isNOTtrue?a)A4- B4is a symmetric matrix.b)AB - BA is a symmetric matrix.c)B5- A5is a skew-symmetric matrix.d)AB + BA is a skew-symmetric matrix.Correct answer is option 'C'. Can you explain this answer?
Question Description
Let A and B be any two 3 × 3 symmetric and skew-symmetric matrices, respectively. Then which of the following isNOTtrue?a)A4- B4is a symmetric matrix.b)AB - BA is a symmetric matrix.c)B5- A5is a skew-symmetric matrix.d)AB + BA is a skew-symmetric matrix.Correct answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Let A and B be any two 3 × 3 symmetric and skew-symmetric matrices, respectively. Then which of the following isNOTtrue?a)A4- B4is a symmetric matrix.b)AB - BA is a symmetric matrix.c)B5- A5is a skew-symmetric matrix.d)AB + BA is a skew-symmetric matrix.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let A and B be any two 3 × 3 symmetric and skew-symmetric matrices, respectively. Then which of the following isNOTtrue?a)A4- B4is a symmetric matrix.b)AB - BA is a symmetric matrix.c)B5- A5is a skew-symmetric matrix.d)AB + BA is a skew-symmetric matrix.Correct answer is option 'C'. Can you explain this answer?.
Let A and B be any two 3 × 3 symmetric and skew-symmetric matrices, respectively. Then which of the following isNOTtrue?a)A4- B4is a symmetric matrix.b)AB - BA is a symmetric matrix.c)B5- A5is a skew-symmetric matrix.d)AB + BA is a skew-symmetric matrix.Correct answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Let A and B be any two 3 × 3 symmetric and skew-symmetric matrices, respectively. Then which of the following isNOTtrue?a)A4- B4is a symmetric matrix.b)AB - BA is a symmetric matrix.c)B5- A5is a skew-symmetric matrix.d)AB + BA is a skew-symmetric matrix.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let A and B be any two 3 × 3 symmetric and skew-symmetric matrices, respectively. Then which of the following isNOTtrue?a)A4- B4is a symmetric matrix.b)AB - BA is a symmetric matrix.c)B5- A5is a skew-symmetric matrix.d)AB + BA is a skew-symmetric matrix.Correct answer is option 'C'. Can you explain this answer?.
Solutions for Let A and B be any two 3 × 3 symmetric and skew-symmetric matrices, respectively. Then which of the following isNOTtrue?a)A4- B4is a symmetric matrix.b)AB - BA is a symmetric matrix.c)B5- A5is a skew-symmetric matrix.d)AB + BA is a skew-symmetric matrix.Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of Let A and B be any two 3 × 3 symmetric and skew-symmetric matrices, respectively. Then which of the following isNOTtrue?a)A4- B4is a symmetric matrix.b)AB - BA is a symmetric matrix.c)B5- A5is a skew-symmetric matrix.d)AB + BA is a skew-symmetric matrix.Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Let A and B be any two 3 × 3 symmetric and skew-symmetric matrices, respectively. Then which of the following isNOTtrue?a)A4- B4is a symmetric matrix.b)AB - BA is a symmetric matrix.c)B5- A5is a skew-symmetric matrix.d)AB + BA is a skew-symmetric matrix.Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Let A and B be any two 3 × 3 symmetric and skew-symmetric matrices, respectively. Then which of the following isNOTtrue?a)A4- B4is a symmetric matrix.b)AB - BA is a symmetric matrix.c)B5- A5is a skew-symmetric matrix.d)AB + BA is a skew-symmetric matrix.Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Let A and B be any two 3 × 3 symmetric and skew-symmetric matrices, respectively. Then which of the following isNOTtrue?a)A4- B4is a symmetric matrix.b)AB - BA is a symmetric matrix.c)B5- A5is a skew-symmetric matrix.d)AB + BA is a skew-symmetric matrix.Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Let A and B be any two 3 × 3 symmetric and skew-symmetric matrices, respectively. Then which of the following isNOTtrue?a)A4- B4is a symmetric matrix.b)AB - BA is a symmetric matrix.c)B5- A5is a skew-symmetric matrix.d)AB + BA is a skew-symmetric matrix.Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© 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