If `A ,\ B ,\ C`
are three non-null
square matrices of the same order, write the condition on `A`
such that `A B=A C=>B=Cdot`
Text Solution
Verified by Experts
Given,`AB=AC⇒B=C `
This is possible only if both sides are multiplied by `A^(−1)` .
`A^(−1)AB=A^(−1)AC
`
`B=C
`
Hence if `A^(−1)` exists, then A is invertible.
If A is invertible then`∣A∣!=0`
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