[4 -8 5] 4 -7 4 3-4 2 (a) (4 points) Show that A is nonsingular by finding the rank of A. (b) (4 points) Calculate the i

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4 8 5 4 7 4 3 4 2 A 4 Points Show That A Is Nonsingular By Finding The Rank Of A B 4 Points Calculate The I 1 (23.58 KiB) Viewed 9 times

[4 -8 5] 4 -7 4 3-4 2 (a) (4 points) Show that A is nonsingular by finding the rank of A. (b) (4 points) Calculate the inverse by using the Gauss-Jordan method. (c) (2 points) Check your answer to (b) by using definition of the matrix inverse, i.e., A-¹A = I. [2 3 4] 6. Given matrix A 4 3 1 5. Consider matrix A = 24 (a) (4 points) Calculate the determinant of A. (b) (6 points) Calculate the inverse of A by using the formula involving the adjoint of A.