a.
To explain: how each equation uses the property. A property of determinants is given ( A and B are square matrices). Then use a graphing utility to verify that each equation is true.
a.

Answer to Problem 80E
The statement is verified.
Explanation of Solution
Given information: If Bis obtained from A by adding a multiple of a row of A to another
row of A or by adding a multiple of a column of A to another column of A. then
Calculation:
Row 1 multiplied by -5 and added to row 2.
This operation will not change the determinant.
Hence, the statement is verified.
b.
To explain: how each equation uses the property. A property of determinants is given ( A andB are square matrices). Then use a graphing utility to verify that each equation is true.
b.

Answer to Problem 80E
The statement is verified by graphical utility.
Explanation of Solution
Given information: If B is obtained from A by adding a multiple of a row of A to another
row of A or by adding a multiple of a column of A to another column of A. then
Calculation:
Multiply row 2 by -2 and add to row 1.
This operation will not change the determinant.
Using graphing utility.
And,
Hence, the statement is verified by graphical utility.
Chapter 7 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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