Exam 20: Mathematical Tools: Determinants and Matrices

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

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Perform this matrix multiplication: Perform this matrix multiplication:   ×   = × Perform this matrix multiplication:   ×   = =

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

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A matrix having only a single column with multiple rows, or a single row with multiple columns, is called a vector.

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    =     = =

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We can develop an n × m matrix by adding an n × p matrix and an n × r matrix where p + r = m.

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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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An n × m determinant is the same as an n × m matrix.

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The value of the determinant The value of the determinant   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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We cannot multiply an n × m matrix by a 1 × m matrix.

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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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  = =

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

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An n × m matrix, when multiplied by an m × n matrix, yields an n × n 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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We cannot multiply an n × m matrix by an m × 1 matrix.

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

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