SOLUTION: 1. Prove that, for square matrices A and B, AB = BA if and only if (A - B)(A + B) = A^2 - B^2 2. Solve the equation XA^2 = A^-1 for X, assuming all matrices involved are inverti

SOLUTION: 1. Prove that, for square matrices A and B, AB = BA if and only if (A - B)(A + B) = A^2 - B^2 2. Solve the equation XA^2 = A^-1 for X, assuming all matrices involved are inverti

Algebra.Com

RELATED QUESTIONS
prove that, for square matrices A and B, AB=BA if and only if(A-B)(A+B)=A²-B². (answered by math_tutor2020,ikleyn)

What must be true about x, y, z and w if AB = BA for the matrices A= x y z w (answered by venugopalramana)

If A and B are matrices conformable for the product AB , prove that (AB)' =... (answered by Edwin McCravy)

Given two n x n matrices A and B where AB=BA how does one show that the determinant of... (answered by khwang)

Prove or disprove the following for all 2x2 matrices A and B 1) (A + B)^2 = A^2 + 2AB... (answered by jim_thompson5910)

I am not sure if I am doing this right. Solve for K. a/b=b/a+1/k (bak)... (answered by oscargut,bucky)

Find AB and BA, if possible. (If not possible, enter IMPOSSIBLE in any single blank.) (answered by fractalier)

Find if they exist (a) AB (b) BA and (c) A^2 when A=[3 2 1] and B =[2 (answered by Edwin McCravy)

prove that [1/2(a+b)]^2 (answered by kekegeter )
can someone please help me with this problem: Find the order of the matrix product AB... (answered by stanbon)