Just as with ordinary numbers,?matrices?can be?added?together and?subtracted?from one another, provided that they meet certain conditions.

How is addition and subtraction performed with matrices?

• Two matrices of the?same order?can be added or subtracted
• The resultant?matrix is of the?same order?as the original matrices being added or subtracted

What are the properties of matrix addition and subtraction?

Matrices can also be?multiplied?either by a?scalar?or by?another matrix.

How do I multiply a matrix by a scalar?

• Multiply?each element?in the matrix by the?scalar?value
• The?resultant?matrix is of the?same order?as the original matrix
• Multiplication by a?negative?scalar changes the?sign?of each element in the matrix

How do I multiply a matrix by another matrix?

• To multiply a matrix by another matrix, the?number of columns?in the?first?matrix must be?equal?to the?number of rows?in the?second?matrixHow do I square an expression involving matrices?
  • remember, the regular rules of algebra do not apply here and you cannot expand these brackets, instead, add together the matrices inside the brackets and then multiply the matrices together

What are the properties of matrix multiplication?