(a)
The determinant of matrix product.
(a)
Answer to Problem 42E
Therefore,
Explanation of Solution
Given information:
Formula used:
Calculation: To calculate
Therefore,
(b)
The determinant of matrix product.
(b)
Answer to Problem 42E
Therefore,
Explanation of Solution
Given information:
Formula used:
Calculation: To calculate
Therefore,
(c)
The determinant of matrix product.
(c)
Answer to Problem 42E
Therefore,
Explanation of Solution
Given information:
Formula used:
Calculation: To calculate
Therefore,
(d)
The determinant of matrix product.
Therefore, | AB | = − 17 .
Given information: A = [ 2 0 1 1 − 4 2 3 1 0 ] , B = [ 2 − 1 4 0 1 0 3 − 2 1 ]
Formula used:
AB = [ a 11 a 12 a 13 a 21 a 22 a 23 a 31 a 32 a 33 ] × [ b 11 b 12 b 13 b 21 b 22 b 23 b 31 b 32 b 33 ]
Calculation: To calculate AB we will use standard formula,
AB = [ 2 0 1 1 − 4 2 3 1 0 ] × [ 2 − 1 4 0 1 0 3 − 2 1 ]
AB = [ ( 2 × 2 ) + ( 0 × 0 ) + ( 1 × 3 ) ( 1 × 2 ) + ( − 4 × 0 ) + ( 2 × 3 ) ( 3 × 2 ) + ( 1 × 0 ) + ( 0 × 3 ) ( 2 × − 1 ) + ( 0 × 1 ) + ( 1 × 0 ) ( 1 × − 1 ) + ( − 4 × 1 ) + ( 2 × 0 ) ( 3 × − 1 ) + ( 1 × 1 ) + ( 0 × 0 ) ( 2 × 4 ) + ( 0 × − 2 ) + ( 1 × 1 ) ( 1 × 4 ) + ( − 4 × − 2 ) + ( 2 × 1 ) ( 3 × 4 ) + ( 1 × − 2 ) + ( 0 × 1 ) ]
AB = [ 7 8 6 − 2 − 5 − 2 9 − 2 10 ]
| AB | = 7 | − 5 − 2 − 2 10 | − 8 | − 2 − 2 9 10 | + 6 | − 2 − 5 9 − 2 | | AB | = 7 ( − 35 − 4 ) − 8 ( − 20 + 18 ) + 6 ( − 4 + 45 ) | AB | = − 279 + 16 + 246 | AB | = − 17
Therefore, | AB | = − 17 .
The determinant of matrix product.
Therefore,
Given information:
Formula used:
Calculation: To calculate
Therefore,
(d)
Answer to Problem 42E
Therefore,
Explanation of Solution
Given information:
Formula used:
Calculation: To calculate
Therefore,
Chapter 7 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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