State whether each statement is true or false and provide a short justification for your claim (a short proof if you think the statement is true or a counter example if you think it is false). Suppose A is an 2× 2 orthogonal matrix, that is A"A = In. Let TA(F) = AF. Then the area of the image of the unit square under T4 is one. Any diagonalizable matrix is invertible.

State whether each statement is true or false and provide a short justification for your claim (a short proof if you think the statement is true or a counter example if you think it is false). Suppose A is an 2× 2 orthogonal matrix, that is A"A = In. Let TA(F) = AF. Then the area of the image of the unit square under T4 is one. Any diagonalizable matrix is invertible.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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