" If "AB=I" and "B=A'," then "

" 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 "

" For the matrix A and identity matrix "I," if "AB=BA=I" then that matrix "B" is inverse matrix and "A" is invertible "A^-1=

If AB=I or BA=I , then prove that A is invertible and B=A^(-1) .

If A={:[(costheta,-sintheta),(-sintheta,costheta)]:}, and AB=BA=I" then "B=

" 1.If "B" is an idempotent matrix and "A=I-B" then "AB=

If a = 2 and b = 3, find the value of (i) a + b (ii) a^(2) + ab (iii) ab - a^(2) (iv) 2a - 3b (v) 5a^(2) - 2ab (vi) a^(3) - b^(3)

If A is a nonsingular matrix satisfying AB - BA = A, then prove that det. (B + I) = det. (B - I).

If A=[(3,4),(7,9)] and AB=I then B=