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Matrices

In addition to those in the Matrix MATH menu, the following matrix operations are allowed. Dimensions must be correct:

matrix + matrix
matrixmatrix
matrix × matrix
Scalar multiplication (for example, 2 × matrix)
matrix × vector (vector will be interpreted as a column vector)

% t NAMES

% t displays the matrix NAMES menu, which shows the dimensions of the matrices and lets you use them in calculations. The row and column dimension of a matrix can be 1{row{3 and 1{column{3.

1:[A]

Definable matrix [A].

2:[B]

Definable matrix [B].

3:[C]

Definable matrix [C].

4:[Ans]

Last matrix result ([Ans]=row×column), or

last vector result ([Ans] dim=n).

Not editable.

Note: Cell values can be toggled. To view the full precision or exact format, highlight the cell.

5:[I2]

2×2 identity matrix (not editable).

6:[I3]

3×3 identity matrix (not editable).

% t MATH

% t " displays the matrix MATH menu, which lets you perform the following operations:

1:Determinant

Determinant of a square matrix.

Syntax: det(squarematrix)

2:T Transpose

Transpose of a matrix.

Syntax: matrixT

3:Inverse

Inverse of a square matrix.

Syntax: squarematrix–1

4:ref reduced

Row echelon form.

Syntax: ref(matrix)

5:rref reduced

Reduced row echelon form.

Syntax: rref(matrix)

% t EDIT

% t ! displays the matrix EDIT menu, which lets you define or edit matrix [A], [B], or [C].

Note: Press r to toggle the number format in a cell as needed.

Example

Define matrix [A] =

Calculate the determinant, transpose, inverse, and rref of [A].

Define [A]

% t !

 

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Set dimensions

" < " <

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Enter values

1 $ 2 $ 3 $ 4 $

det([A])

% s

% t "

 

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% t < )

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Transpose

% t <

% t " $ <

 

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Inverse

% s

-

% t <

% t " $ $

<

 

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rref

- -

% t " #

 

< % t

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