FILL in the blank:AB E M nxn (R) (i) det (A.B) = . (ii) A is invertible if and only if _ .

Question

FILL in the blank:AB E M nxn (R) (i) det (A.B) = ____________ . (ii) A is invertible if and only if _____________ .

asked Dec 25, 2024 103k views

1 Answer

Dmytro Cheglakov · Answer 1 · 2024-12-29T21:47:33+0000

Answer:

For square matrices A and B of equal size, the determinant of a matrix product equals the product of their determinants: det (A.B) = det (A) det (B) 1. A is invertible if and only if its determinant is nonzero 1.

Explanation:

FILL in the blank:AB E M nxn (R) (i) det (A.B) = . (ii) A is invertible if and only if _ .

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