EBK PRECALCULUS W/LIMITS
EBK PRECALCULUS W/LIMITS
3rd Edition
ISBN: 9781285607160
Author: Larson
Publisher: CENGAGE CO
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Chapter 8.5, Problem 61E

5

To determine

The determinant of the matrix [4]

5

Expert Solution
Check Mark

Answer to Problem 61E

  |4|=4

Explanation of Solution

Given:

The matrix [4] .

Calculation:

The determinant of the matrix [4] is |4| .

The value of |4|=4

Conclusion:

The determinant of the matrix [4] is 4.

6

To determine

The determinant of the matrix [−10]

6

Expert Solution
Check Mark

Answer to Problem 61E

  |−10|=−10

Explanation of Solution

Given:

The matrix [−10] .

Calculation:

The determinant of the matrix [−10] is |−10| .

The value of |−10|=−10

Conclusion:

The determinant of the matrix [−10] is -10.

7

To determine

The determinant of the matrix [8423]

7

Expert Solution
Check Mark

Answer to Problem 61E

  |8423|=16

Explanation of Solution

Given:

The matrix [8423] .

Calculation:

The determinant of the matrix [8423] is |8423| .

The value of

  |8423|=8⋅3−4⋅2=24−8=16

Conclusion:

The determinant of the matrix [8423] is 16.

8

To determine

The determinant of the matrix [−906−2]

8

Expert Solution
Check Mark

Answer to Problem 61E

  |−906−2|=18

Explanation of Solution

Given:

The matrix [−906−2] .

Calculation:

The determinant of the matrix [−906−2] is |−906−2| .

The value of

  |−906−2|=−9⋅−2−0⋅6=18−0=18

Conclusion:

The determinant of the matrix [−906−2] is 18.

9

To determine

The determinant of the matrix [6−3−52]

9

Expert Solution
Check Mark

Answer to Problem 61E

  |6−3−52|=−3

Explanation of Solution

Given:

The matrix [6−3−52] .

Calculation:

The determinant of the matrix [6−3−52] is |6−3−52| .

The value of

  |6−3−52|=6⋅2−−3⋅−5=12−15=−3

Conclusion:

The determinant of the matrix [6−3−52] is -3.

10

To determine

The determinant of the matrix [3−34−8]

10

Expert Solution
Check Mark

Answer to Problem 61E

  |3−34−8|=−12

Explanation of Solution

Given:

The matrix [3−34−8] .

Calculation:

The determinant of the matrix [3−34−8] is |3−34−8| .

The value of

  |3−34−8|=3⋅−8−−3⋅4=−24+12=−12

Conclusion:

The determinant of the matrix [3−34−8] is -12.

11

To determine

The determinant of the matrix [−7030]

11

Expert Solution
Check Mark

Answer to Problem 61E

  |−7030|=0

Explanation of Solution

Given:

The matrix [−7030] .

Calculation:

The determinant of the matrix [−7030] is |−7030| .

The value of

  |−7030|=−7⋅0−0⋅3=0−0=0

Conclusion:

The determinant of the matrix [−7030] is 0.

12

To determine

The determinant of the matrix [4−300]

12

Expert Solution
Check Mark

Answer to Problem 61E

  |4−300|=0

Explanation of Solution

Given:

The matrix [4−300] .

Calculation:

The determinant of the matrix [4−300] is |4−300| .

The value of

  |4−300|=4⋅0−−3⋅0=0−0=0

Conclusion:

The determinant of the matrix [4−300] is 0.

13

To determine

The determinant of the matrix [2603]

13

Expert Solution
Check Mark

Answer to Problem 61E

  |2603|=6

Explanation of Solution

Given:

The matrix [2603] .

Calculation:

The determinant of the matrix [2603] is |2603| .

The value of

  |2603|=2⋅3−6⋅0=6−0=6

Conclusion:

The determinant of the matrix [2603] is 6.

14

To determine

The determinant of the matrix [2−3−69]

14

Expert Solution
Check Mark

Answer to Problem 61E

  |2−3−69|=0

Explanation of Solution

Given:

The matrix [2−3−69] .

Calculation:

The determinant of the matrix [2−3−69] is |2−3−69| .

The value of

  |2−3−69|=2⋅9−−3⋅−6=18−18=0

Conclusion:

The determinant of the matrix [2−3−69] is 0.

15

To determine

The determinant of the matrix [−3−2−6−4]

15

Expert Solution
Check Mark

Answer to Problem 61E

  |−3−2−6−4|=0

Explanation of Solution

Given:

The matrix [−3−2−6−4] .

Calculation:

The determinant of the matrix [−3−2−6−4] is |−3−2−6−4| .

The value of

  |−3−2−6−4|=−3⋅−4−−2⋅−6=12−12=0

Conclusion:

The determinant of the matrix [−3−2−6−4] is 0.

16

To determine

The determinant of the matrix [47−25]

16

Expert Solution
Check Mark

Answer to Problem 61E

  |47−25|=34

Explanation of Solution

Given:

The matrix [47−25] .

Calculation:

The determinant of the matrix [47−25] is |47−25| .

The value of

  |47−25|=4⋅5−7⋅−2=20+14=34

Conclusion:

The determinant of the matrix [47−25] is 34.

17

To determine

The determinant of the matrix [−2−7−31]

17

Expert Solution
Check Mark

Answer to Problem 61E

  |−2−7−31|=−23

Explanation of Solution

Given:

The matrix [−2−7−31] .

Calculation:

The determinant of the matrix [−2−7−31] is |−2−7−31| .

The value of

  |−2−7−31|=−2⋅1−−7⋅−3=−2−21=−23

Conclusion:

The determinant of the matrix [−2−7−31] is -23.

18

To determine

The determinant of the matrix [2−5−4−1]

18

Expert Solution
Check Mark

Answer to Problem 61E

  |2−5−4−1|=−22

Explanation of Solution

Given:

The matrix [2−5−4−1] .

Calculation:

The determinant of the matrix [2−5−4−1] is |2−5−4−1| .

The value of

  |2−5−4−1|=2⋅−1−−5⋅−4=−2−20=−22

Conclusion:

The determinant of the matrix [2−5−4−1] is -22.

19

To determine

The determinant of the matrix [−760.53]

19

Expert Solution
Check Mark

Answer to Problem 61E

  |−760.53|=−24

Explanation of Solution

Given:

The matrix [−760.53] .

Calculation:

The determinant of the matrix [−760.53] is |−760.53| .

The value of

  |−760.53|=−7⋅3−6⋅0.5=−21−3=−24

Conclusion:

The determinant of the matrix [−760.53] is -24.

20

To determine

The determinant of the matrix [02.5−32]

20

Expert Solution
Check Mark

Answer to Problem 61E

  |02.5−32|=7.5

Explanation of Solution

Given:

The matrix [02.5−32] .

Calculation:

The determinant of the matrix [02.5−32] is |02.5−32| .

The value of

  |02.5−32|=0⋅2−2.5⋅−3=0+7.5=7.5

Conclusion:

The determinant of the matrix [02.5−32] is 7.5.

21

To determine

The determinant of the matrix [−1213−613]

21

Expert Solution
Check Mark

Answer to Problem 61E

  |−1213−613|=156

Explanation of Solution

Given:

The matrix [−1213−613] .

Calculation:

The determinant of the matrix [−1213−613] is |−1213−613| .

The value of

  |−1213−613|=−12⋅13−13⋅−6=−16+2

  =−1+126=116=156

Conclusion:

The determinant of the matrix [−1213−613] is 156 .

22

To determine

The determinant of the matrix [23−43−113]

22

Expert Solution
Check Mark

Answer to Problem 61E

  |23−43−113|=−119

Explanation of Solution

Given:

The matrix [23−43−113] .

Calculation:

The determinant of the matrix [23−43−113] is |23−43−113| .

The value of

  |23−43−113|=23⋅13−−43⋅−1=29−43

  =2−129=−109=−119

Conclusion:

The determinant of the matrix [23−43−113] is −119 .

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Chapter 8.5, Problem 60E
Next
Chapter 8.5, Problem 62E

Chapter 8 Solutions

EBK PRECALCULUS W/LIMITS

Ch. 8.1 - Prob. 1ECh. 8.1 - Prob. 2ECh. 8.1 - Prob. 3ECh. 8.1 - Prob. 4ECh. 8.1 - Prob. 5ECh. 8.1 - Prob. 6ECh. 8.1 - Prob. 7ECh. 8.1 - Prob. 8ECh. 8.1 - Prob. 9ECh. 8.1 - Prob. 10E
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Prob. 59ECh. 8.5 - Prob. 60ECh. 8.5 - Prob. 61ECh. 8.5 - Prob. 62ECh. 8.5 - Prob. 63ECh. 8.5 - Prob. 64ECh. 8.5 - Prob. 65ECh. 8.5 - Prob. 66ECh. 8.5 - Prob. 67ECh. 8.5 - Prob. 68ECh. 8.5 - Prob. 69ECh. 8.5 - Prob. 70ECh. 8.5 - Prob. 71ECh. 8.5 - Prob. 72ECh. 8.5 - Prob. 73ECh. 8.5 - Prob. 74ECh. 8 - Prob. 1RECh. 8 - Prob. 2RECh. 8 - Prob. 3RECh. 8 - Prob. 4RECh. 8 - Prob. 5RECh. 8 - Prob. 6RECh. 8 - Prob. 7RECh. 8 - Prob. 8RECh. 8 - Prob. 9RECh. 8 - Prob. 10RECh. 8 - Prob. 11RECh. 8 - Prob. 12RECh. 8 - Prob. 13RECh. 8 - Prob. 14RECh. 8 - Prob. 15RECh. 8 - Prob. 16RECh. 8 - Prob. 17RECh. 8 - Prob. 18RECh. 8 - Prob. 19RECh. 8 - Prob. 20RECh. 8 - Prob. 21RECh. 8 - Prob. 22RECh. 8 - Prob. 23RECh. 8 - Prob. 24RECh. 8 - Prob. 25RECh. 8 - Prob. 26RECh. 8 - Prob. 27RECh. 8 - Prob. 28RECh. 8 - Prob. 29RECh. 8 - Prob. 30RECh. 8 - Prob. 31RECh. 8 - Prob. 32RECh. 8 - Prob. 33RECh. 8 - Prob. 34RECh. 8 - Prob. 35RECh. 8 - Prob. 36RECh. 8 - Prob. 37RECh. 8 - Prob. 38RECh. 8 - Prob. 39RECh. 8 - Prob. 40RECh. 8 - Prob. 41RECh. 8 - Prob. 42RECh. 8 - Prob. 43RECh. 8 - Prob. 44RECh. 8 - Prob. 45RECh. 8 - Prob. 46RECh. 8 - Prob. 47RECh. 8 - Prob. 48RECh. 8 - Prob. 49RECh. 8 - Prob. 50RECh. 8 - Prob. 51RECh. 8 - Prob. 52RECh. 8 - Prob. 53RECh. 8 - Prob. 54RECh. 8 - Prob. 55RECh. 8 - Prob. 56RECh. 8 - Prob. 57RECh. 8 - Prob. 58RECh. 8 - Prob. 59RECh. 8 - Prob. 60RECh. 8 - Prob. 61RECh. 8 - Prob. 62RECh. 8 - Prob. 63RECh. 8 - Prob. 64RECh. 8 - Prob. 65RECh. 8 - Prob. 66RECh. 8 - Prob. 67RECh. 8 - Prob. 68RECh. 8 - Prob. 69RECh. 8 - Prob. 70RECh. 8 - Prob. 71RECh. 8 - Prob. 72RECh. 8 - Prob. 73RECh. 8 - Prob. 74RECh. 8 - Prob. 75RECh. 8 - Prob. 76RECh. 8 - Prob. 77RECh. 8 - Prob. 78RECh. 8 - Prob. 79RECh. 8 - Prob. 80RECh. 8 - Prob. 81RECh. 8 - Prob. 82RECh. 8 - Prob. 83RECh. 8 - Prob. 84RECh. 8 - Prob. 85RECh. 8 - Prob. 86RECh. 8 - Prob. 87RECh. 8 - Prob. 88RECh. 8 - Prob. 89RECh. 8 - Prob. 90RECh. 8 - Prob. 91RECh. 8 - Prob. 92RECh. 8 - Prob. 93RECh. 8 - Prob. 94RECh. 8 - Prob. 95RECh. 8 - Prob. 96RECh. 8 - Prob. 97RECh. 8 - Prob. 98RECh. 8 - Prob. 99RECh. 8 - Prob. 100RECh. 8 - Prob. 101RECh. 8 - Prob. 102RECh. 8 - Prob. 103RECh. 8 - Prob. 104RECh. 8 - Prob. 105RECh. 8 - Prob. 106RECh. 8 - Prob. 107RECh. 8 - Prob. 108RECh. 8 - Prob. 109RECh. 8 - Prob. 110RECh. 8 - Prob. 111RECh. 8 - Prob. 112RECh. 8 - Prob. 113RECh. 8 - Prob. 114RECh. 8 - Prob. 115RECh. 8 - Prob. 116RECh. 8 - Prob. 117RECh. 8 - Prob. 118RECh. 8 - Prob. 119RECh. 8 - Prob. 120RECh. 8 - Prob. 121RECh. 8 - Prob. 122RECh. 8 - Prob. 123RECh. 8 - Prob. 124RECh. 8 - Prob. 125RECh. 8 - Prob. 126RECh. 8 - Prob. 127RECh. 8 - Prob. 128RECh. 8 - Prob. 129RECh. 8 - Prob. 130RECh. 8 - Prob. 131RECh. 8 - Prob. 132RECh. 8 - Prob. 133RECh. 8 - Prob. 134RECh. 8 - Prob. 135RECh. 8 - Prob. 136RECh. 8 - Prob. 137RECh. 8 - Prob. 138RECh. 8 - Prob. 139RECh. 8 - Prob. 140RECh. 8 - Prob. 141RECh. 8 - Prob. 142RECh. 8 - Prob. 144RECh. 8 - Prob. 145RECh. 8 - Prob. 146RECh. 8 - Prob. 147RECh. 8 - Prob. 148RECh. 8 - Prob. 149RECh. 8 - Prob. 150RECh. 8 - Prob. 151RECh. 8 - Prob. 152RECh. 8 - Prob. 1CTCh. 8 - Prob. 2CTCh. 8 - Prob. 3CTCh. 8 - Prob. 4CTCh. 8 - Prob. 5CTCh. 8 - Prob. 6CTCh. 8 - Prob. 7CTCh. 8 - Prob. 8CTCh. 8 - Prob. 9CTCh. 8 - Prob. 10CTCh. 8 - Prob. 11CTCh. 8 - Prob. 12CTCh. 8 - Prob. 13CTCh. 8 - Prob. 14CTCh. 8 - Prob. 15CTCh. 8 - Prob. 1PSCh. 8 - Prob. 2PSCh. 8 - Prob. 3PSCh. 8 - Prob. 4PSCh. 8 - Prob. 5PSCh. 8 - Prob. 6PSCh. 8 - Prob. 7PSCh. 8 - Prob. 8PSCh. 8 - Prob. 9PSCh. 8 - Prob. 10PSCh. 8 - Prob. 11PSCh. 8 - Prob. 12PSCh. 8 - Prob. 13PSCh. 8 - Prob. 14PSCh. 8 - Prob. 15PSCh. 8 - Prob. 16PSCh. 8 - Prob. 17PSCh. 8 - Prob. 18PSCh. 8 - Prob. 19PSCh. 8 - Prob. 20PS
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