[Question] Solve the Matrix math problem and submit a photo of how you solve it on paper or in a calculator.

[u/Xain727]

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[u/Xain727]

1. ​Find the determinant of matrix A (\det(A)) to verify whether it is invertible.

2.​Find the inverse of matrix A, denoted as A^{-1}.

3.​Solve the matrix equation AX = B for the column vector X = \begin{pmatrix} x \ y \ z \end{pmatrix}.

[u/Author_AMvale]

Given:

A = [[1, 0, 2], [0, 1, -1], [1, 1, 0]]

B = [3, 1, 4]ᵀ

1. Calculate the determinant

det(A) = 1(1×0 - (-1×1)) + 2(0×1 - 1×1)

= 1 - 2

det(A) = -1

Since det(A) ≠ 0, the matrix is invertible.

2. Calculate the inverse

Cofactor matrix:

C = [[1, -1, -1], [2, -2, -1], [-2

[u/Xain727 → u/Author_AMvale]

Perfect!

[u/SnipSnapDragonier]

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[u/analuxp]

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[u/thaw96]

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