Let A and B be square matrices of order 3 such that |A| = 4 and...

Question

Question

Let A and B be square matrices of order 3 such that |A| = 4 and |B| = 7

(1) Find |AB|.

(2) Find |2A|.

(3) Are A and B singular or nonsingular? Explain.

(A) A and B are both singular because they both have nonzero determinants.

(B) A and B are both nonsingular because they both have nonzero determinants.

(C) A is singular, but B is nonsingular because |A| < |B|.

(D) B is singular, but A is nonsingular because |A| < |B|.

(4) If A and B are nonsingular, find |A⁻¹| and |B⁻¹|

|A⁻¹|

=

|B⁻¹|

=

(5) Find |(AB)^T|

math algebra

Answer 1

Answer #1

Let A and B be square matrices of order 3 such that IA-4 and B-7 (1) Find IABl. =28 (2) Find 12A 8·니 (3) Are A and B singular

Answer 2

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