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Algebra 2 ch 4 Vocabulary

Algebra 2 ch 4 Vocabulary

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22 cards
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Section 1

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row switching

Front

1 / 22

AlgebraMath
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Mar 1, 2020

Cards (22)

Section 1

(22 cards)

row switching

Front

interchanging two rows of a matrix.

Back

zero matrix

Front

- designated 0m × n, the m × n matrix, all of whose entries are 0

Back

inverse

Front

- two matrices are inverses if their product is the identity matrix

Back

column

Front

- all of the numbers in one vertical line in a matrix

Back

entry

Front

- another name for an element of a matrix

Back

augmented matrix

Front

- a matrix formed by adding a column of the constant terms to the coefficient matrix of a linear system

Back

matrix

Front

- rectangular array of numbers

Back

scalar

Front

- a number which can be used as an element of a matrix

Back

dimension

Front

- the number of rows and the number of columns in a matrix

Back

determinant

Front

- a number calculated from the entries in a square matrix that gives information about the matrix, including the nature of the solutions to a related system of linear equations

Back

transpose

Front

- a related matrix formed by making the rows of a matrix into columns and the columns into rows

Back

element

Front

- a number in a matrix

Back

Cramer's rule

Front

- a method of calculating the solution to a system of linear equations by finding the quotients of determinants

Back

row addition

Front

adding or subtracting one row of a matrix to another row.

Back

elementary row operation

Front

Basic operations that can be done to a matrix including: row switching, row addition/ subtraction, & row multiplication/ division.

Back

square matrix

Front

- a matrix which has equal numbers of rows and columns

Back

row multiplication

Front

multiplying or dividing a row of a matrix by a number.

Back

identity matrix

Front

- a square matrix with ones in the main diagonal and zeros everywhere else

Back

row

Front

- all of the numbers in one horizontal line in a matrix

Back

coefficient matrix

Front

- a matrix formed from the coefficients of the variables of a system of linear equations

Back

RECIPROCAl INVERSE NOT ZERO

Front

A determinant will have a __________________, and the matrix will have an ___________________ if the determinant is _____________________.

Back

opposite of a matrix

Front

- the matrix composed of the opposites of each entry in a matrix

Back