3. Matrices and vectors a. Compute the following [2 marks] -5x² + 7y² + 2z² + 2xy + 8xz -6yz -5x² + 7y² + 2z² + 2xy - 6xz+8yz 5x² + 7y² + 2z² + 2xy +6xz-8yz • 5x² + 7y² + 2z² - 2xy - 6xz+8yz ¹ (¹ 2²¹) ²² b. What's the inverse of -5 1 -3 •(90)- 17 4 -3 4 2 (x y z) ? You should use the definition of inverse and check the conditions for each matrix in turn. [2 marks] 2 (44) =? -1/3 1/3) (12) (-1/3 2/3)

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