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Chapter 11: Q. 6 (page 740)

True or False If any row (or any column) of a determinant is multiplied by a nonzero number k, the value of the determinant remains unchanged.

Short Answer

Expert verified

False

Step by step solution

01

Step 1. Given information  

We have been given a statement that If any row (or any column) of a determinant is multiplied by a nonzero number k, the value of the determinant remains unchanged.

We have to tell whether it is true or false.

02

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

If any row (or any column) of a determinant is multiplied by a nonzero number k, the value of the determinant also changes by the factor k.

Therefore, the given statement is false.

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Most popular questions from this chapter

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

y=3x-5;x2+y2=5

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

2x-3y-z=03x+2y+2z=2x+5y+3z=2

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

x-2y+3z=72x+y+z=4-3x+2y-2z=-10

Verify that the values of the variables listed are solutions of the system of equations.

2x+12y=03x-4y=-192x=-12,y=2;-12,2

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

2x-2y+3z=64x-3y+2z=0-2x+3y-7z=1
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