Question

If A, B, and Care 2x2 matrices; and det(A) = -2, det(B) = -3, and det(C)=-4 then compute: det(4C^TA^-1 C^TB^3) = 0 Official Time: 12:46:13 SUBMIT AND MARK SAVE AND CLOSE

Answer 1

Answer with explanation:

|A| = -2

|B|= -3

|C| = -4

`|4 C^TA^(-1)C^TB^(3)|=4 |C||A|^(-1)|C||B|^3, \text{as}|C^T|=|C|,|A^n|=A^n\\\\=4 * (-4) * (-2)^(-1) * (-4) * (-3)^3\\\\=4 * (-4) * (-1)/(2) * (-4) * (-27)\\\\=-1728 * (-1)/(2) \\\\=864`