Problem

find the value of each determinant. $$ \left|\beg…

00:34

Problem 7 Easy Difficulty

find the value of each determinant.
$$
\left|\begin{array}{rr}{6} & {4} \\ {-1} & {3}\end{array}\right|
$$

Answer

$$22$$

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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Oregon State University

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Harvey Mudd College

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Idaho State University

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

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Problem 15

Problem 16

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Problem 22

Problem 23

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Problem 25

Problem 26

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Problem 35

Problem 36

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Problem 46

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Problem 53

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Problem 55

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Problem 68

Problem 69

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Problem 73

Video Transcript

in this problem were given a two by two matrix, and our goal or task is to find the determinant. So to do this we focus on the diagonals of our two by two matrix in the blue direction. We would have a positive value in the red direction. We have a negative as the formula, remember, for a determinant is a times D minus B times c. So to calculate the determinant of this particular problem, we would have six times three minus four times negative one and all you need to do a simplify piece by piece six times three is 18 minus four times negative. One is negative. Four. The double negative turns into a positive 18 plus four results in 22. The determinant for this matrix is 22.

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

Heather Z.

Oregon State University

Kayleah T.

Harvey Mudd College

MG

Maria G.

Numerade Educator

Michael J.

Idaho State University