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If A=[1-3 2 0] , write a d j\ A .
The matrix A= [[0,1],[1,0]] is
If A=[(-1,-2,-2 ),(2, 1,-2),( 2,-2 ,1)] , show that a d j A=3A^T .
Find the adjoint of the matrix A=[(-1,-2,-2), (2 ,1,-2), (2,-2, 1)] and hence show that A(a d j\ A)=|A|\ I_3 .
If A=[[2,3-1,0]], show that A^(2)-2A+3I_(2)=O
Find the adjoint of matrix A=[a_(i j)]=[1 1 1 2 1-3-1 2 3]
If matrix A= [(1, 2, 3),( 2, 3, 1),( 3, 1, 2)] then |adjA| is: (A) 18 (B) -18 (C) 324 (D) -324
Consider the following statements in respect of the matrix A=[{:(0,1,2),(-1,0,-3),(-2,3,0):}] 1. The matrix A is skew-symmetric. 2. The matrix A is symmetric. 3. The matrix A is invertible. Which of the above statements is/are correct ?
Show that the matrix A=[{:(2,3),(1,2):}] satisfies the equation A^(2)-4A+I=O and hence, find A^(-1) .
For any 2xx2 matrix, if A\ (a d j\ A)=[10 0 0 10] , then |A| is equal to (a) 20 (b) 100 (c) 10 (d) 0
