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Example Questions
Example Question #1 : Matrices
Evaluate:
This problem involves a scalar multiplication with a matrix. Simply distribute the negative three and multiply this value with every number in the 2 by 3 matrix. The rows and columns will not change.
Example Question #10 : Find The Product Of A Matrix And A Scalar
What is ?
You can begin by treating this equation just like it was:
That is, you can divide both sides by :
Now, for scalar multiplication of matrices, you merely need to multiply the scalar by each component:
Then, simplify:
Therefore,
Example Question #1 : Matrices
If , what is
?
Begin by distributing the fraction through the matrix on the left side of the equation. This will simplify the contents, given that they are factors of :
Now, this means that your equation looks like:
This simply means:
and
or
Therefore,
Example Question #9 : Find The Product Of A Matrix And A Scalar
Simplify:
Scalar multiplication and addition of matrices are both very easy. Just like regular scalar values, you do multiplication first:
The addition of matrices is very easy. You merely need to add them directly together, correlating the spaces directly.
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