Define the inverse of a matrix. Solve the following system of equations using
matrix inversion method.
1. 2x + 4y + 2z = 12
2. 5x – 2y + 6z = 07
3. 3x + 3y – 4z =5
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Answer:In linear algebra, an n-by-n square matrix A is called invertible, if there exists an n-by-n square matrix B such that \mathbf {AB} =\mathbf {BA} =\mathbf {I} _{n}\ where Iₙ denotes the n-by-n identity matrix and the multiplication used is ordinary matrix multiplication.
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