Question

how to find inverse of a matrix in R Language

Answer 1

The inverse of a matrix plays the same roles in matrix algebra as the reciprocal of a number and division does in ordinary arithmetic: Just as we can solve a simple equation like 4x=84x=8 for xx by multiplying both sides by the reciprocal

4x=8⇒4−14x=4−18⇒x=8/4=24x=8⇒4−14x=4−18⇒x=8/4=2

we can solve a matrix equation like Ax=bAx=b for the vector xx by multiplying both sides by the inverse of the matrix AA,

Ax=b⇒A−1Ax=A−1b⇒x=A−1bAx=b⇒A−1Ax=A−1b⇒x=A−1b

The following examples illustrate the basic properties of the inverse of a matrix.


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