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Matrix Addition and Subtraction

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Videos, worksheets, solutions, and activities to help Algebra students learn about matrix addition, subtraction and scalar multiplication.

How to define a matrix?
A matrix is a rectangular arrangement or array of numbers called elements.

How to identify the dimensions of a matrix?
The dimension m × n of a matrix identifies how many rows and columns a specific matrix has. The number of rows is m and the number of columns is n.

How to identify elements in a matrix?
A number or element in a matrix is denoted aij, where i is the ith row and j is the jth column.

How to perform matrix addition?
The sum of two matrices can only be found if both matrices have the same dimension. We add matrices by adding corresponding elements.

How to perform matrix subtraction?
The difference of two matrices can only be found if both matrices have the same dimension. We subtract matrices by subtracting corresponding elements.

How to perform scalar multiplication?
The product of a scalar and a matrix is equal to the scalar times each element in the matrix.

Matrix Addition, Subtraction, and Scalar Multiplication
This video shows how to add, subtract and perform scalar multiplication with matrices.

What a matrix is?
How to add and subtract them.
How to add two matrices together?
If they both have the same dimensions (same number of rows and columns) then you just add up the numbers that are in the same spot. Matrix Addition and Subtraction

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