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Chapter 11: Q. 5 (page 740)

True or False The value of a determinant remains unchanged if any two rows or any two columns are interchanged.

Short Answer

Expert verified

False

Step by step solution

01

Step 1. Given information

We have been given a statement that The value of a determinant remains unchanged if any two rows or any two columns are interchanged.

We have to tell whether it is true or false.

02

Step 2. Read the statement carefully and write true or false

The sign of a determinant is changed if any two rows or any two columns are interchanged.

Therefore, the given statement is false.

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Most popular questions from this chapter

In Problems, use the division algorithm to rewrite each improper fraction as the sum of a quotient and proper fraction. Find the partial fraction decomposition of the proper fraction. Finally, express the improper fraction as the sum of a quotient and the partial fraction decomposition.

$\frac{x^{4} + x^{3} - x + 2}{x^{2} - 2 x + 1}$

Solve each system of equations. If the system has no solution, say that it is inconsistent.

$x - y - z = 1 2 x + 3 y + z = 2 3 x + 2 y = 0$

In Problems 5–24, graph each equation of the system. Then solve the system to find the points of intersection.

$y = x - 1; y = x^{2} - 6 x + 9$

Graph each inequality by hand.

$y > x^{2} + 2$

solve each system of equations. If the system has no solution, say that it is inconsistent

x + 4y - 3z = -8

3x - y + 3z = 12

x + y + 6z = 1

See all solutions

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