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3. Recall that not all matrices have an inverse. A matrix is singular, i.e., does not have an inverse, if det(A) 0. Use MATLAB to

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3. Recall that not all matrices have an inverse. A matrix is singular, i.e., does not have an inverse, if det(A) 0. Use MATLAB to test the following matrices using the determinant function to see if each has an inverse () C [2, 0, 0:1, 2, 2; 5, -4, 0] = If an inverse exists, compute it. 4. Solve the following systems of equations using both techniques MATLAB provides, the matrix left division and the inverse matrix methods: a. 10x1-7X2 + 0X3 = 7 3xi + 2x2 + 6x3- 4 b. x1 + 4x2 X4 = 16 x3 2x415 3x1-10x2 - 2x3 + 5x4 - -15 x1 + 4x2 3. Recall that not all matrices have an inverse. A matrix is singular, i.e., does not have an inverse, if det(A) 0. Use MATLAB to test the following matrices using the determinant function to see if each has an inverse () C [2, 0, 0:1, 2, 2; 5, -4, 0] = If an inverse exists, compute it. 4. Solve the following systems of equations using both techniques MATLAB provides, the matrix left division and the inverse matrix methods: a. 10x1-7X2 + 0X3 = 7 3xi + 2x2 + 6x3- 4 b. x1 + 4x2 X4 = 16 x3 2x415 3x1-10x2 - 2x3 + 5x4 - -15 x1 + 4x2

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