Exam 20: Mathematical Tools: Determinants and Matrices

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Evaluate the determinant Evaluate the determinant   . .

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An n × m matrix,when multiplied by an m × p matrix,yields

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We can always perform the matrix multiplication AA.

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Find the inverse of Find the inverse of   . .

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Multiply the matrix Multiply the matrix   by   . by Multiply the matrix   by   . .

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The correct determinant value for the determinant The correct determinant value for the determinant   would be would be

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Describe the adjoint.

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Evaluate the determinant Evaluate the determinant   . .

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  -   = -   -   = =

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The value of the determinant The value of the determinant   is is

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Describe a matrix.

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A cofactor of a matrix is the set of numbers that remains after a given row and column have been removed from a matrix.

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Evaluate the determinant Evaluate the determinant   . .

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A matrix multiplied by its inverse is always equal to the identity matrix.

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An n × m matrix,when multiplied by an m × n matrix,yields

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    =     = =

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We cannot multiply an n × m matrix by an m × 1 matrix.

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Evaluate the determinant below. Evaluate the determinant below.

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The value of the determinant of the following matrix is 7. The value of the determinant of the following matrix is 7.

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Matrices can be used by television station executives to describe the channel switching behavior of their eight o'clock TV news audience.

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