Problem

When using Cramer’s Rule, if D = 0, then the syst…

01:15

Problem 3 Easy Difficulty

A determinant can never equal 0.

Answer

$$\mathrm{F}$$

Topics

Equations and Inequalities

Systems of Equations and Inequalities

Book Cover for College Algebra 10e

College Algebra 10e

Chapter 8

Systems of Equations and Inequalities

Section 3

Systems of Linear Equations: Determinants

Discussion

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Watch More Solved Questions in Chapter 8

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15

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Problem 48

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Problem 73

Video Transcript

we're given the statement, the determinant can never equal zero and asked to find if this is true or false. So our task here is to determine if the determinant can equal zero. So if we're given a two by two matrix, for example, where we have 3 to 00 so any row or column is zero, and we use the process of determining the determinant with the A Times D term minus the B times C term. We find that zero minus zero does in fact give us zero. So the statement that it can never equal zero is false. And again, this is because if any row or column is made of zeros, the A times D or B times c both result in 00 take way zero is zero, therefore again false.

Jessica D.

SUNY College at Brockport

Topics

Equations and Inequalities

Systems of Equations and Inequalities

Book Cover for College Algebra 10e

College Algebra 10e

Chapter 8

Systems of Equations and Inequalities

Section 3

Systems of Linear Equations: Determinants

Top Algebra Educators

GH

Grace H.

Numerade Educator

Anna Marie V.

Campbell University

Alayna H.

McMaster University

MG

Maria G.

Numerade Educator