All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
JEE Exam  >  JEE Questions  >  Suppose Q = [qij] is amatrix such that PQ = k... Start Learning for Free
 Suppose Q = [qij] is a matrix such that PQ = kI, where  and I  is the  identity matrix of order 3. then
  • a)
    a = 0, k = 8
  • b)
    4a – k + 8 = 0
  • c)
    det (P adj (Q)) = 29
  • d)
    det (Q adj (P)) = 213
Correct answer is option 'B,C'. Can you explain this answer?
Clear all your JEE doubts with EduRev
Verified Answer
Suppose Q = [qij] is amatrix such that PQ = kI, where and I is the id...
Comparing the third elements of 2nd row on both sides, we get

View all questions of this test
Explore Courses for JEE exam

Similar JEE Doubts

Introduction:To find the inverse of a matrix A using elementary transformations, we need to perform a series of row operations until A is transformed into the identity matrix I. Simultaneously, we perform the same row operations on the identity matrix I and obtain the inverse matrix A^-1.Given Matrix:A = [1 2 2 -1]Augmented Matrix:We will augment the given matrix A with the identity matrix I as follows:[A | I] = [1 2 2 -1 | 1 0 0 1]Row Operations:Perform the following row operations to transform A into I:1. R2 = R2 - 2R1[A | I] = [1 2 2 -1 | 1 0 0 1] [0 -2 -2 1 | -2 0 0 0] 2. R2 = -1/2R2[A | I] = [1 2 2 -1 | 1 0 0 1] [0 1 1/2 -1/2 | 1 0 0 0] 3. R1 = R1 - 2R2[A | I] = [1 0 1 -2 | -1 0 0 1] [0 1 1/2 -1/2 | 1 0 0 0] 4. R1 = R1 + R2[A | I] = [1 0 3/2 -5/2 | 0 0 0 1] [0 1 1/2 -1/2 | 1 0 0 0] Final Result:After performing the row operations, the matrix A is transformed into the identity matrix I. The inverse matrix A^-1 is given by the augmented matrix on the right side:A^-1 = [0 0 0 1 | 0 0 0 1] [0 1 1/2 -1/2 | 1 0 0 0]Explanation:By using elementary transformations, we performed a series of row operations on the given matrix A to transform it into the identity matrix I. Simultaneously, we performed the same row operations on the identity matrix I to obtain the inverse matrix A^-1. These row operations include adding or subtracting multiples of one row from another and multiplying a row by a constant. These operations ensure that the resulting matrix A^-1, when multiplied with the original matrix A, yields the identity matrix I. Therefore, A^-1 is the inverse of matrix A.

Top Courses for JEEView all

Top Courses for JEE

Suppose Q = [qij] is amatrix such that PQ = kI, where and I is the identity matrix of order 3. thena)a = 0, k = 8b)4a – k + 8 = 0c)det (P adj (Q)) = 29d)det (Q adj (P)) = 213Correct answer is option 'B,C'. Can you explain this answer?
Question Description
Suppose Q = [qij] is amatrix such that PQ = kI, where and I is the identity matrix of order 3. thena)a = 0, k = 8b)4a – k + 8 = 0c)det (P adj (Q)) = 29d)det (Q adj (P)) = 213Correct answer is option 'B,C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Suppose Q = [qij] is amatrix such that PQ = kI, where and I is the identity matrix of order 3. thena)a = 0, k = 8b)4a – k + 8 = 0c)det (P adj (Q)) = 29d)det (Q adj (P)) = 213Correct answer is option 'B,C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Suppose Q = [qij] is amatrix such that PQ = kI, where and I is the identity matrix of order 3. thena)a = 0, k = 8b)4a – k + 8 = 0c)det (P adj (Q)) = 29d)det (Q adj (P)) = 213Correct answer is option 'B,C'. Can you explain this answer?.
Solutions for Suppose Q = [qij] is amatrix such that PQ = kI, where and I is the identity matrix of order 3. thena)a = 0, k = 8b)4a – k + 8 = 0c)det (P adj (Q)) = 29d)det (Q adj (P)) = 213Correct answer is option 'B,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 Suppose Q = [qij] is amatrix such that PQ = kI, where and I is the identity matrix of order 3. thena)a = 0, k = 8b)4a – k + 8 = 0c)det (P adj (Q)) = 29d)det (Q adj (P)) = 213Correct answer is option 'B,C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Suppose Q = [qij] is amatrix such that PQ = kI, where and I is the identity matrix of order 3. thena)a = 0, k = 8b)4a – k + 8 = 0c)det (P adj (Q)) = 29d)det (Q adj (P)) = 213Correct answer is option 'B,C'. Can you explain this answer?, a detailed solution for Suppose Q = [qij] is amatrix such that PQ = kI, where and I is the identity matrix of order 3. thena)a = 0, k = 8b)4a – k + 8 = 0c)det (P adj (Q)) = 29d)det (Q adj (P)) = 213Correct answer is option 'B,C'. Can you explain this answer? has been provided alongside types of Suppose Q = [qij] is amatrix such that PQ = kI, where and I is the identity matrix of order 3. thena)a = 0, k = 8b)4a – k + 8 = 0c)det (P adj (Q)) = 29d)det (Q adj (P)) = 213Correct answer is option 'B,C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Suppose Q = [qij] is amatrix such that PQ = kI, where and I is the identity matrix of order 3. thena)a = 0, k = 8b)4a – k + 8 = 0c)det (P adj (Q)) = 29d)det (Q adj (P)) = 213Correct answer is option 'B,C'. Can you explain this answer? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

Explore Courses
SaveJoin the Discussion on the App for FREE
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
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup