Compute the product ab

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MATH 54 QUIZ 2-

1. Compute the product AB where 1541_Figure.png

2. Are the following collections of vectors linearly independent? Justify your answer.

1181_Figure1.png

3. Is the following matrix invertible? If so, find its inverse.

1940_Figure2.png

4. State 6 conditions of the invertible matrix theorem.

5. True or false? Justify your answer.

(i) If the columns of an n × n matrix A are linearly independent, then they span Rn.

(ii) Let A be a 2 × 3 matrix. There exists a 3 × 2 matrix C such that CA = I3.

6. Suppose that A is an n × n matrix such that A4 = A · A · A · A is invertible. Prove that A invertible.

7. Write anything you like here (comments, questions, suggestions, etc).

Reference no: EM131076262

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