4 Multiplication of a matrix by a number
There is also a natural way of defining the product of a matrix with a number. Using the matrix above, we note that
What we see is that (which is the shorthand notation for ) is obtained by multiplying every element of by .
In general if is an matrix with typical element then the product of a number with is written and has the corresponding elements .
Hence, again using the matrix above,
Similarly:
Task!
For the following matrices find, where possible, .
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- None of are defined.