Scaling a matrix

Matrices can be scaled by floating point numbers; this kind of scaling is a component-wise operation. To scale a matrix, multiply every element by the provided floating point number.

Implement matrix scaling in mat4.cpp. Don't forget to add the function declaration to mat4.h:

mat4 operator*(const mat4& m, float f) {

    return mat4(

        m.xx * f, m.xy * f, m.xz * f, m.xw * f,

        m.yx * f, m.yy * f, m.yz * f, m.yw * f,

        m.zx * f, m.zy * f, m.zz * f, m.zw * f,

        m.tx * f, m.ty * f, m.tz * f, m.tw * f

    );

}

Scaling matrices and then adding them allows you to "lerp" or "mix" between two matrices, so long as both matrices represent a linear transform. In the next section, you will learn how to multiply matrices together.