Introduction to Matrices — Quiz Answers

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Which is a square matrix?

A
the 4 by 4 matrix, row 1, column 1, 0 column 2, 0 column 3, negative 6 column 4, negative 18 row 2, column 1, 1 column 2, negative 4 column 3, 0 column 4, 3 point 5 row 3, column 1, 0 column 2, negative 20 column 3, 7 column 4, 8 row 4, column 1, 4 column 2, negative 0 point 4 column 3, 16 column 4, 18 point 5
B
the 3 by 4 matrix, row 1, column 1, 2 column 2, 3 column 3, negative 8 column 4, 1 row 2, column 1, negative 5 column 2, 19 column 3, 0 column 4, negative 3 row 3, column 1, 5 point 6 column 2, 7 point 8 column 3, 6 column 4, 78
C
the 4 by 5 matrix, row 1, column 1, 0 column 2, 1 column 3, 8 column 4, 0 column 5, negative 2 row 2, column 1, 5 column 2, 8 column 3, 7 column 4, 0 column 5, 1 row 3, column 1, 9 column 2, 14 column 3, 0 column 4, 0 column 5, negative 8 row 4, column 1, 0 column 2, 0 column 3, 5 column 4, 4 column 5, 16
D
the 3 by 4 matrix, row 1, column 1, 2 column 2, 3 column 3, negative 8 column 4, 0 row 2, column 1, negative 5 column 2, 19 column 3, 0 column 4, 0 row 3, column 1, 5 column 2, 8 column 3, 6 column 4, 0
3

Which matrix is equal to the 2 by 3 matrix, row 1, column 1, negative 6 column 2, negative 6 point 5 column 3, 1 point 7 row 2, column 1, 2 column 2, negative 8 point 5 column 3, 19 point 3 ?

A
the 3 by 2 matrix row 1, 6 2 row 2, 6 point 5 8 point 5 row 3, 1 point 7 19 point 3
B
the 3 by 2 matrix, row 1, column 1, negative 6 column 2, 2 row 2, column 1, negative 6 point 5 column 2, negative 8 point 5 row 3, column 1, 1 point 7 column 2, 19 point 3
C
the 2 by 3 matrix, row 1, column 1, negative 6 column 2, negative 6 point 5 column 3, 1 point 7 row 2, column 1, 2 column 2, negative 8 point 5 column 3, 19 point 3
D
the 2 by 3 matrix, row 1, column 1, 6 column 2, 6 point 5 column 3, negative 1 point 7 row 2, column 1, negative 2 column 2, 8 point 5 column 3, negative 19 point 3
5

Which of the following is a diagonal matrix?

A
the 3 by 3 matrix, row 1, column 1, negative 1 column 2, 0 column 3, 0 row 2, column 1, 0 column 2, negative 22 column 3, 0 row 3, column 1, 0 column 2, 0 column 3, 7 point 5
B
the 3 by 3 matrix, row 1, column 1, 0 column 2, 3 point 5 column 3, negative 18 row 2, column 1, 1 column 2, 0 column 3, 9 row 3, column 1, 6 column 2, negative 4 column 3, 0
C
the 3 by 3 matrix, row 1, column 1, 0 column 2, 0 column 3, 7 point 5 row 2, column 1, 0 column 2, negative 22 column 3, 0 row 3, column 1, 5 column 2, 0 column 3, 0
D
the 3 by 3 matrix, row 1, column 1, 2 column 2, 0 column 3, 0 row 2, column 1, 0 column 2, negative 42 column 3, 0 row 3, column 1, 0 column 2, 16 column 3, negative 7 point 5
6

Which matrix is equal to the 2 by 2 matrix, row 1, column 1, 3 column 2, 2 row 2, column 1, negative 5 column 2, 9 ?

A
the 1 by 4 matrix, row 1, column 1, 3 column 2, 2 column 3, negative 5 column 4, 9
B
the 2 by 2 matrix, row 1, column 1, 3 column 2, negative 5 row 2, column 1, 2 column 2, 9
C
the 2 by 2 matrix, row 1, column 1, 3 column 2, 2 row 2, column 1, negative 5 column 2, 9
D
the 1 by 4 matrix, row 1, column 1, 3 column 2, negative 5 column 3, 2 column 4, 9
8

Which is an augmented matrix for the system of linear equations? negative 4 x plus 3 y is equal to 216 10 x minus 4 y is equal to negative 156

A
the 2 by 3 matrix, row 1, column 1, negative 4 column 2, 3 column 3, 216 row 2, column 1, 10 column 2, negative 4 column 3, negative 156
B
the 2 by 2 matrix, row 1, column 1, negative 4 column 2, 3 row 2, column 1, 10 column 2, negative 4
C
the 2 by 2 matrix row 1, 4 3 row 2, 10 4
D
the 2 by 3 matrix row 1, 4 3 216 row 2, 10 4 156
10

Dakarai wrote the system of linear equations. 7 x plus 8 y is equal to 28 negative 3 x plus 9 y is equal to negative 24 Dakarai then wrote the coefficient matrix that represents this system. Which matrix could she have written?

A
the 2 by 3 matrix, row 1, column 1, 7 column 2, negative 3 column 3, 28 row 2, column 1, 8 column 2, 9 column 3, negative 24
B
the 2 by 2 matrix, row 1, column 1, 7 column 2, 8 row 2, column 1, negative 3 column 2, 9
C
the 2 by 2 matrix, row 1, column 1, 7 column 2, negative 3 row 2, column 1, 8 column 2, 9
D
the 2 by 3 matrix, row 1, column 1, 7 column 2, 8 column 3, 28 row 2, column 1, negative 3 column 2, 9 column 3, negative 24

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