Intro to zero matrices
What you should be familiar with before taking this lesson
Definition of zero matrix
Investigation: What happens when we add a zero matrix?
Investigation: What happens when we add opposite matrices?
Investigation: What happens when we multiply a matrix by the scalar ?
Summary: Comparing the zero matrix to the real number zero
|The number zero||The zero matrix|
|Adding zero to any number gives back that number . (eg. )||Adding a zero matrix to any matrix gives back the matrix . (eg. )|
|Adding any number to its opposite will give zero. (eg. )||Adding any matrix to its opposite will give a zero matrix. (e.g. )|
|Any number times zero is zero. (e.g ).||Scalar multiplication of a matrix by will give a zero matrix. (eg. )|