Similarly to multiply the matrix by 3, we multiply each element by 3. Similarly for any number. So we can write the more general case of multiplying that matrix by any number c, say, as:
If we multiply this general matrix by any number c, we get this:
So now we can multiply any matrix by any number. It's the same whether c is positive or negative, whole number, fraction or decimal, real or imaginary.
It's also the same process whatever the shape of the matrix, whether it's 3x5 or 4x4 or any other combination.
Matrices can be added and subtracted if they have the same dimensions (row x column). They can be altered by scalar multiplication. These operations can be done on the Casio calculator fairly easily and the process is helpful if you have lots to do with the same matrices.
Let’s start with paper and pencil to add, subtract, and find scalar multiples for the following matrices.
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