10 11 Suppose A =, then show that for all n E N (al + bA) = d I + nd -1 + bA, where the order of 2 Is a matrix matrix. NCERT)

Let A = [[0,1],[0,0]] , show that (aI + bA)^n = a^nI + na^(n-1) bA , where I is the identity matrix of order 2 and n in N

The order of the matrix A is 3×5 and that of order B is 2×3 then the order of matrix BA is

Let A=[[0, 1],[ 0, 0]] show that (a I+b A)^n=a^n I+n a^(n-1)b A , where I is the identity matrix of order 2 and n in N .

Let A=[(0,1),(0,0) ] show that (a I+b A)^n=a^n I+n a^(n-1)b A , where I is the identity matrix of order 2 and n in N .

Let A=[[0,10,0]] show that (aI+bA)^(n)=a^(n)I+na^(n-1)bA where I is the identity matrix of order 2 and n in N

If A is matrix of order m xx n and B is a matrix such that AB' and B'A are both defined, the order of the matrix B is

If A is idempotent matrix, then show that (A+I)^(n) = I+(2^(n)-1) A, AAn in N, where I is the identity matrix having the same order of A.

Suppose A and B be two ono-singular matrices such that AB= BA^(m), B^(n) = I and A^(p) = I , where I is an identity matrix. If m = 2 and n = 5 then p equals to

Suppose A and B be two ono-singular matrices such that AB= BA^(m), B^(n) = I and A^(p) = I , where I is an identity matrix. If m = 2 and n = 5 then p equals to