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Which expression represents the determinant of cap A is equal to the 2 by 2 matrix row 1, 2 3 row 2, 1 9 ?

A
det times cap A is equal to 2 times 3 minus 1 times 9
B
det times cap A is equal to 2 times 3 plus 1 times 9
C
det times cap A is equal to 2 times 9 minus 1 times 3
D
det times cap A is equal to 2 times 9 plus 1 times 3
3

Which expression represents the determinant of cap A is equal to the 2 by 2 matrix, row 1, column 1, negative 3 column 2, 6 row 2, column 1, 1 column 2, negative 6 ?

A
det times cap A is equal to negative 3 times negative 6 plus negative 1 times negative 6
B
det times cap A is equal to negative 3 times negative 6 minus 1 times 6
C
det times cap A is equal to 1 times 6 minus negative 3 times negative 6
D
det times cap A is equal to negative 3 times negative 6 plus 1 times 6
4

Which statement is true for the following system? negative x minus 3 y minus 4 z is equal to 2 negative x plus 2 y minus 4 z is equal to 0 2 x minus y plus 5 z is equal to 1

A
The system has no solutions.
B
The system has exactly one solution.
C
The system has an infinite number of solutions.
D
The system has exactly three solutions.
8

Which statement is true for the following system? 4 x minus y plus 2 z is equal to negative 1 negative x plus 2 y plus 5 z is equal to 2 negative x plus y minus 3 z is equal to 1

A
The system has exactly three solutions.
B
The system has exactly one solution.
C
The system has no solutions.
D
The system has an infinite number of solutions.

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Pretest Answers — Advanced Algebra Concepts and…