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# If $a, b,$ and $c eq 0$ are real numbers with $a c=b c,$ then $a=b$ Does this same property hold for matrices? In other words, if $A, B,$ and $C,$ are matrices and...

## Question

###### If $a, b,$ and $c eq 0$ are real numbers with $a c=b c,$ then $a=b$ Does this same property hold for matrices? In other words, if $A, B,$ and $C,$ are matrices and $A C=B C,$ must $A=B ?$

If $a, b,$ and $c \neq 0$ are real numbers with $a c=b c,$ then $a=b$ Does this same property hold for matrices? In other words, if $A, B,$ and $C,$ are matrices and $A C=B C,$ must $A=B ?$

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