Table of Contents
If A & B are two 2 x 2 matrices then find the value of (1) 2A + 3B (2) 3A – 2B (3) 2A – 4B
If Matrix A (3×3) and B (3×3) are given then find matrix X that satisfies following equation :
(1) 2A + 3B – 4X = 0 (2) 2 (A +X) – (B + 4X) =X – 3B
Matrix Multiplication
If A and B are two matrices of order 2 x 2 , then find (1) AB (2) BA
If A , B and C are three 2×2 matrices , then verify that A (B + C) = AB + AC
If A is 1×3 matrix & B is 3×1 matrix, then find AB & BA.
If A2 is 2 x 2 matrix, then find matrix A.
If A & I are two 2 x 2 matrix, then prove that A2 (a+d) A = (bc-ad) I, where I is 2 x 2 identity matrix.
For 2 x 2 matrix A = [aij] and B = [bij] where aij = (i + 3j)2 / 2 and bij = (i – j) / (i + j) .Then prove that AB ≠ BA.
If A & B are two 3 x 3 matrices, find AB & BA.
Find Determinant A of given matrix of order 3 x 3.
Find determinant of matrix A of the order 3 x 3
Find Inverse of matrix of order 2 x 2
Find Inverse of matrix of order 3 x 3
If A is 3×3 given matrix then prove that A2 – 4A – 5I = 0 and hence Find A-1
Prove that A is non singular matrix if BAC=I (Identity Matrix) (All matrices are 2 x 2)
Solve for x & y using Matrix inversion method : 2x + 5y = 9 , 3x – y = 5
Solve for x, y and z by using matrix inverse method : x + y + z = 5, 2x – 3y – 4z = -11, 3x + 2y – z = -6
