(a) The n × n matrices A, B, C, and X satisfy the equation AX(B
+ CX) ?1 = C Write an expression for the matrix X in terms of A, B,
and C. You may assume invertibility of any matrix when
necessary.
(b) Suppose D is a 3 × 5 matrix, E is a 5 × c matrix, and F is a
4 × d matrix. Find the values of c and d for which the statement
“det(DEF) =...