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Math Assignment Invertible Matrix Theorem

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Added on  2020-05-03

Math Assignment Invertible Matrix Theorem

   Added on 2020-05-03

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Running head: THE INVERTIBLE MATRIX THEOREM1The Invertible Matrix TheoremNameInstitution
Math Assignment Invertible Matrix Theorem_1
THE INVERTIBLE MATRIX THEOREM 2The Invertible Matrix TheoremLet then A be a 3×3¿ where n=3. A=[1−30−4111073]We consider four statements from the invertible Matrix Theorem as shown. The statements extracted from the Invertible Matrix Theorem include: “Matrix A has n pivot positions, the columns of the matrix form a linearly independent set, zero is not an eigenvalue of matrix A, and the determinant of A, det(A)≠0.”Part a“Matrix A has n pivot positions”The row echelon form of the Matrix A can be computed as:R1: “add 4 times the 1st row to the 2nd row” to obtain [1−300−11273]R2: “add 2 times the 1st row to the 3rd row” to obtain [1−300−110133]R3: “multiply the 2nd row by -1” to obtain [1−300110133]R4: add -13 times the 2nd row to 3rd row to obtain [1−3001−10016]
Math Assignment Invertible Matrix Theorem_2

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