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Matrices : Arithmetic

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Description

The arithmetic commands in the matrices section of QuickMath allow you to :

  • Add one matrix to another
  • Subtract one matrix from another
  • Multiply two matrices together
  • Multiply a matrix by a scalar
  • Raise a matrix to a power

To use the matrix arithmetic commands, simply go to the arithmetic page, type in your matrix or matrices, select the command you want to execute and hit the "Calculate" button. Your question will be automatically answered by computer and the reply will be shown in your browser within a few seconds. The answer will be given in two forms : a 'natural' form, which mimics the row and column layout normally used for matrices, and an 'input' form, which is the form required for the entry of matrices into QuickMath. The input form of a solution can be copied and pasted into a matrix input field, so you can use the result from one calculation in another calculation without having to re-type it.

Examples

Here are some examples illustrating the types of expressions you can use the factor command on and the results which QuickMath will return.

Matrix 1 Matrix 2 Operation Result
a, b
c, d
1, 2
3, 4
MATRIX 1 + MATRIX 2
1 + a   2 + b

3 + c   4 + d 
a, b
c, d
1, 2
3, 4
MATRIX 1 - MATRIX 2
-1 + a   -2 + b

-3 + c   -4 + d
a, b
c, d
1, 2
3, 4
MATRIX 1 . MATRIX 2
a + 3 b     2 a + 4 b

c + 3 d     2 c + 4 d 
a, b
c, d
  5 . MATRIX 1
5 a   5 b

5 c   5 d 
a, b
c, d
  MATRIX 1 ^ 2
 2
a  + b c    a b + b d

                   2
a c + c d   b c + d