Find the best tutors and institutes for Class 12 Tuition
Search in
Find the inverse of each of the matrices, if it exists.
We know that A = IA
Find the inverse of each of the matrices, if it exists.
We know that A = IA
Matrices A and B will be inverse of each other only if
A. AB = BA
C. AB = 0, BA = I
B. AB = BA = 0
D. AB = BA = I
Answer: D
We know that if A is a square matrix of order m, and if there exists another square matrix B of the same order m, such that AB = BA = I, then B is said to be the inverse of A. In this case, it is clear that A is the inverse of B.
Thus, matrices A and B will be inverses of each other only if AB = BA = I.
Find the inverse of each of the matrices, if it exists.
We know that A = IA
Find the inverse of each of the matrices, if it exists.
We know that A = IA
Find the inverse of each of the matrices, if it exists.
We know that A = IA
Find the inverse of each of the matrices, if it exists.
We know that A = IA
Find the inverse of each of the matrices, if it exists.
If A is the given matrix, Inverse of A = adj(A)/|A|, where |A| is the determinant of A.
We know that A = AI
where |A| = ad-bc = 1
Find the inverse of each of the matrices, if it exists.
We know that A = IA
Find the inverse of each of the matrices, if it exists.
We know that A = AI
Find the inverse of each of the matrices, if it exists.
We know that A = AI
Find the inverse of each of the matrices, if it exists.
We know that A = IA
As |A| = 0 , which means that the given matrix is a singular matrix.
And inverse only exists for non singular matrices.
Hence for the matrix, inverse does not exist.
Find the inverse of each of the matrices, if it exists.
We know that A = IA
Find the inverse of each of the matrices, if it exists.
#
Find the inverse of each of the matrices, if it exists.
(i)
We know that A = IA
Applying
, we have:
Now, in the above equation, we can see all the zeros in the first row of the matrix on the L.H.S.
Therefore, A−1 does not exist.
(ii)
We know that A = IA
Find the inverse of each of the matrices, if it exists.
We know that A = IA
Applying R2→ R2 + 3R1 and R3→ R3 − 2R1, we have:
Find the inverse of each of the matrices, if it exists.
We know that A = IA
Applying
, we have:
How helpful was it?
How can we Improve it?
Please tell us how it changed your life *
Please enter your feedback
UrbanPro.com helps you to connect with the best Class 12 Tuition in India. Post Your Requirement today and get connected.
Find best tutors for Class 12 Tuition Classes by posting a requirement.
Get started now, by booking a Free Demo Class
