If `A=[(ab,b^2),(-a^2,-ab)]` then matrix A is (A) scalar (B) involuntary (C) idemponent (D) nilpotent

The matrix A=[(-5,-8,0),(3,5,0),(1,2,-1)] is (A) idempotent matrix (B) involutory matrix (C) nilpotent matrix (D) none of these

If A is a non-singular matrix such that AA^(T)=A^(T)A and B=A^(-1)A^(T), the matrix B is a.involuntary b.orthogonal c.idempotent d. none of these

The matrix A = [(1, 2),( 0,1)] is (a) a Unit matrix (b) a diagonal matrix (c) a scalar matrix (d) None of these

The matrix A = [(1, 2),( 0,1)] is (a) a Unit matrix (b) a diagonal matrix (c) a scalar matrix (d) None of these

" If "A=[[ab,b^(2)],[-a^(2),-ab]]" and "B=I+A" ,then "|B|^(100)" ,where "I" is identity matrix of order "2" ,is "

" If "A=[[ab,b^(2)],[-a^(2),-ab]]" and "B=I+A" ,then "|B|^(100)" ,where "I" is identity matrix of order "2" ,is "

" If "A=[[ab,b^(2)],[-a^(2),-ab]]" and "B=I+A," then "|B|^(100)," where "I" is identity matrix of order "2," is "

If A is an mxxn matrix such that AB and BA are both defined, then B is (A) mxxn matrix (B) nxxn matrix (C) mxxn matrix (D) nxxm matrix

If A=[(a,b),(b,a)] and A^2=[(alpha, beta),(beta, alpha)] then (A) alpha=a^2+b^2, beta=ab (B) alpha=a^2+b^2, beta=2ab (C) alpha=a^2+b^2, beta=a^2-b^2 (D) alpha=2ab, beta=a^2+b^2

If A={:[(2,-3),(1,2)]:}andB={:[(3,2),(7,-1)]:} , find matrix C such that C=AB+A^(2)B .