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Chapter 1, Section 1.6, Question 01 Chapter 1, Section 1.5, Question 09a Solve the system by inverting the coefficient matrix and using the following theorems Find the inverse of the given matrix if the matrix is invertible, and check your answer by multiplication. If A is an invertible 7 X 0 matrix, then for each 0 * 1 matrix b , the system of equations AX = b has exactly one solution, namely, X = A b A = 3 17 X1 + X2 =5 5x1 + 6X2 = 8 X = X7 = Chapter 1, Section 1.3, Question 01f Suppose that A, B, C, D, and E are matrices with the following sizes: A B C D E (3x 1) (3x1) (1x3) (3x1) (1x3) Chapter 1, Section 1.3, Question 05j Using the matrices 0 3 -2 -1 -3 3 Determine whether the matrix expression E(78 + A) is defined. D= -1 -14 E = 10-2 0 -1 Enter the size of the resulting matrix (enter 'NA" in each box if undefined). compute the following. tr 3ET - D) E(78 + A) is a ( X tr (3ET - D) =