find inverse of matrix [4 3 3 2]
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The inverse of a number is its reciprocal. For example, the inverse of 8 is 18, the inverse of 20 is 120 and so on. Therefore, a number multiplied by its inverse will always equal 1. An inverse of a number is denoted with a −1 superscript.
x⋅1x=x⋅x−1=x−1⋅x=1
The inverse of a matrix A is another matrix denoted by A−1 and is defined as:
A−1A=AA−1=I
Where I is the identity matrix. Thus, similar to a number and its inverse always equaling 1, a matrix multiplied by its inverse equals the identity.
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