Exam 20: Mathematical Tools: Determinants and Matrices

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

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Define what a matrix transpose is.

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What size matrix is yielded when an n × m matrix is added to an n × m matrix?

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

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What size matrix is yielded when an n × m matrix is multiplied by an m × p matrix?

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Add the matrices Add the matrices   +   . + Add the matrices   +   . .

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

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Element 2,1 of the inverse of the matrix Element 2,1 of the inverse of the matrix   is is

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As a mathematical tool,determinants are of value in helping to solve a series of simultaneous equations.

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Find the inverse of Find the inverse of   . .

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We can find only the inverse of square matrices.

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All matrices have the same number of rows as columns.

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Which of the following statements is not true about Matrix(ces)?

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Determine the inverse of the matrix Determine the inverse of the matrix   . .

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Element 1,2 of the inverse of the matrix Element 1,2 of the inverse of the matrix   is is

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    =     = =

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We can develop an n × m matrix by the addition of an n × m matrix and an n × p matrix,where p < n.

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

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What size matrix is yielded when an n × m matrix is multiplied by an m × n matrix?

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[1 5] [1 5]   = =

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