To divide by a square matrix
To invert a matrix
To negate each element
M1
2
For division of a matrix or a vector by a square matrix, the number of rows of the dividend (or the number of elements, if it is a vector) must equal the number of rows in the divisor.
This operation is not a mathematical division: it is a left- multiplication by the inverse of the divisor. M1/M2 is equivalent to
To divide the two matrices M1 and M2 that you created for the previous example, press the following keys:
M1 
M2 
You can invert a square matrix in HOME by typing the
matrix (or its variable name) and pressing 
. Or you can use the matrix INVERSE command. Enter INVERSE(matrixname) in HOME and press
.
You can change the sign of each element in a matrix by
pressing 
before the matrix name.
Example | Solve the following linear system: | ||
| 2x + 3y + 4z | = 5 | |
| x + y – z | = | 7 |
| 4x – y + 2z | = | 1 |
1.Open the Matrix catalog and create a vector.
MATRIX
Matrices |