12.4. Matrix and Vector Functions
Vector Norm
Use this function to calculate the Euclidean distance or to simplify expressions involving length. To enter //x//, tap the absolute value key twice. To enter data points, use brackets and separate arguments using a space.
Examples
Calculate:
Use this function to calculate the Euclidean distance or to simplify expressions involving length. To enter //x//, tap the absolute value key twice. To enter data points, use brackets and separate arguments using a space.
Examples
Calculate:
1.||2,6,9||
2.2||x-3||=6
3.2||3,4||-||3,-2||
Calculator solutions
Note: tap ( or ) twice to use brackets [ or ].
Enter one expression per line.
Tap the absolute value key |x| twice to enter a vector ||v|| as "norm." Leave a space between arguments and enter the vector expression in brackets [ ].
1) Enter the expression: ||2 6 9||. It should appear as: "norm[2 6 9]." When you use the vector key ||v|| it will appear as "norm."
2) Enter 2||x - 3|| = 6 by typing "2norm[x - 3]."
3) Enter 2||3 4|| - ||3 -2|| by typing "2norm[3 4] - norm[3 -2].
Note: tap ( or ) twice to use brackets [ or ].
Enter one expression per line.
Tap the absolute value key |x| twice to enter a vector ||v|| as "norm." Leave a space between arguments and enter the vector expression in brackets [ ].
1) Enter the expression: ||2 6 9||. It should appear as: "norm[2 6 9]." When you use the vector key ||v|| it will appear as "norm."
2) Enter 2||x - 3|| = 6 by typing "2norm[x - 3]."
3) Enter 2||3 4|| - ||3 -2|| by typing "2norm[3 4] - norm[3 -2].
Determinant of a Matrix
Tap the /x/ key three times to find the determinant of a given matrix. Enter the arguments by row with each row in brackets and separate elements with a space. Note: the result will always be 0 for non-square matrices.
Examples
Find the determinant of each matrix below.
Tap the /x/ key three times to find the determinant of a given matrix. Enter the arguments by row with each row in brackets and separate elements with a space. Note: the result will always be 0 for non-square matrices.
Examples
Find the determinant of each matrix below.
Calculator solutions
Enter one matrix per line.
Note: tap ( or ) twice to use brackets [ or ]. Tap the absolute value key |x| three times to use "det."
1) Enter: det[[2 3][4 6]]
2) Enter: det[[2 4 6][3 5 6][8 -1 3]]
Enter one matrix per line.
Note: tap ( or ) twice to use brackets [ or ]. Tap the absolute value key |x| three times to use "det."
1) Enter: det[[2 3][4 6]]
2) Enter: det[[2 4 6][3 5 6][8 -1 3]]
Matrix Trace (tr)
Tap the /x/ key four times to use this function. The trace of a square matrix is the sum of its diagonal elements.
Examples
Find the trace of each square matrix below.
Tap the /x/ key four times to use this function. The trace of a square matrix is the sum of its diagonal elements.
Examples
Find the trace of each square matrix below.
Calculator solutions
Note: tap ( or ) twice to use brackets [ or ]. Tap the absolute value key |x| four times to use "tr."
1) Enter: tr[[2 12][6 9]]
2) Enter: tr[[2 10 -2][6 9 -1][0 3 12]]
Note: tap ( or ) twice to use brackets [ or ]. Tap the absolute value key |x| four times to use "tr."
1) Enter: tr[[2 12][6 9]]
2) Enter: tr[[2 10 -2][6 9 -1][0 3 12]]
Adjugate Matrix (adj)
Tap the /x/ key five times to use the adjugate function. The adjugate of a matrix can be found by replacing each element by its cofactor.
Examples
Find the adjugate of each matrix below.
Tap the /x/ key five times to use the adjugate function. The adjugate of a matrix can be found by replacing each element by its cofactor.
Examples
Find the adjugate of each matrix below.
Calculator solutions
Note: tap ( or ) twice to use brackets [ or ]. Tap the absolute value key |x| five times to use "adj."
1) Enter: adj[[2 12][6 9]]
2) Enter: adj[[2 10 -2][6 9 -1][0 3 12]]
Note: tap ( or ) twice to use brackets [ or ]. Tap the absolute value key |x| five times to use "adj."
1) Enter: adj[[2 12][6 9]]
2) Enter: adj[[2 10 -2][6 9 -1][0 3 12]]
Transpose of a Matrix
Tap the /x/ key six times to find the transpose of a matrix, ^T. In a transpose of a matrix, the rows are the columns of the original and the columns are the rows of the original. This function also converts vectors into one-column matrices.
Examples
Find the transpose of each matrix below.
Tap the /x/ key six times to find the transpose of a matrix, ^T. In a transpose of a matrix, the rows are the columns of the original and the columns are the rows of the original. This function also converts vectors into one-column matrices.
Examples
Find the transpose of each matrix below.
Calculator solutions
Note: tap ( or ) twice to use brackets [ or ]. Tap the absolute value key |x| six times to use ^T
1) Enter: [[2 12][6 9]]^T
2) Enter: [[2 10 -2][6 9 -1][0 3 12]]^T
Note: tap ( or ) twice to use brackets [ or ]. Tap the absolute value key |x| six times to use ^T
1) Enter: [[2 12][6 9]]^T
2) Enter: [[2 10 -2][6 9 -1][0 3 12]]^T