a.
To find the determinant of a matrix and to expand by cofactors on first row.
a.
Answer to Problem 21E
The determinant of a matrix when expanded by cofactors on first row is,
Explanation of Solution
Given information:
The matrix is given as,
Calculation:
The value of cofactors of the first row can be obtained as,
Similarly, the other cofactors are,
According to the definition of a determinant, first row expansion must be,
Therefore, The determinant of a matrix when expanded by cofactors on first row is,
b.
To find the determinant of a matrix and to expand by cofactors on second column.
b.
Answer to Problem 21E
The determinant of a matrix when expanded by cofactors on second column is,
Explanation of Solution
Given information:
The matrix is given as,
Calculation:
The value of cofactors of the second column can be obtained as,
Similarly, the other cofactors are,
According to the definition of a determinant, second column expansion must be,
Therefore, The determinant of a matrix when expanded by cofactors on second column is,
Chapter 7 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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