The following data matrix represents a simple closed polygon. 08500 0 0 1 0 0 A = Draw the figure. 10+ 9 8 7 6 5 4 3 2 1 -2 -1 -2+ Clear All Draw: Polygon 1 2 3 4 5 6 7 8 9 10 Give the rotation matrix, R, to rotate the figure through an angle of 90°. 0 1 -1 0 Calculate the matrix product R.A. Draw the rotated figure. 88 10+ 9 8 7 6- 5 4 3 2 1 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 -1 -2+ 12

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A: Explaination of the answer is as follows

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Q: Row reduce the matrix to reduced echelon form. Identify the pivot positions in the final matrix and…

A: Put the given matrix into reduced row echelon form to get pivot position as follows

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Q: ii. the missing elements of the adjoint of M, (-11 1 13 adj(M) = -9 an a2 3 a a33) :=

A: A detailed solution is given below

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Q: Find Reduced Row Echelon Form

A: Solution: The objective is to find the row reduced echelon form of the given matrix

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A: Image of the vector

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A: The matrix that produces the pair of rotations. about the y-axis and then  about the z-axis.

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A: To perform the required row transformatin on the given (augmented) matrix

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A: Solution: The objective is to find required marix

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A: To find the matrix which represents the given parallelogram.

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A: The answer is given in step 2.