-3 10 -3 A = [ - ²2 - 3 ] 0 - 1 0 - ³ ] B= -4 6 10 4 Let A = O A. [₁ Show the calculations that are used to find the entries for matrix AB. Choose the correct answer below. O B. O D. and C= 2(10) + 6(4) 2(-3) + 6(10) − 4(10)+(-3)(4) −4(-3)+(-3)(10) 2(10)+(-3)(10) 2(-3)+(-3)(4) -4(10) + 6(10) -4(-3)+6(4) - 4(10)+(-3)(10) 2(10) + 6(10) 1 - 12 4 -2 -4(-3)+(-3)(4) 2(-3) + 6(4) 2(-3)+(-3)(10) 2(10)+(-3)(4) -4(-3) + 6(10) -4(10)+6(4) Verify that AB = AC and yet B # C.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
2 -3
10 -3
- 12
LMA=[ 4 ~*] B-[* ~*] M³ C-[1 −²2²]
Let
B=
and C=
-4 6
10
4
4 -2
Show the calculations that are used to find the entries for matrix AB. Choose the correct answer below.
O A.
O B.
C.
D.
2(10) + 6(4)
2(-3) + 6(10)
- 4(10)+(-3)(4) −4(−3) + (− 3)(10)
2(10)+(-3)(10) 2(-3)+(-3)(4)
-4(10) + 6(10) -4(-3) + 6(4)
- 4(10)+(-3)(10)
2(10) + 6(10)
−4(-3)+(-3)(4)
2(-3) + 6(4)
Verify that AB = AC and yet B # C.
2(-3)+(-3)(10) 2(10)+(-3)(4)
-4(-3) + 6(10) - 4(10) + 6(4)
Transcribed Image Text:2 -3 10 -3 - 12 LMA=[ 4 ~*] B-[* ~*] M³ C-[1 −²2²] Let B= and C= -4 6 10 4 4 -2 Show the calculations that are used to find the entries for matrix AB. Choose the correct answer below. O A. O B. C. D. 2(10) + 6(4) 2(-3) + 6(10) - 4(10)+(-3)(4) −4(−3) + (− 3)(10) 2(10)+(-3)(10) 2(-3)+(-3)(4) -4(10) + 6(10) -4(-3) + 6(4) - 4(10)+(-3)(10) 2(10) + 6(10) −4(-3)+(-3)(4) 2(-3) + 6(4) Verify that AB = AC and yet B # C. 2(-3)+(-3)(10) 2(10)+(-3)(4) -4(-3) + 6(10) - 4(10) + 6(4)
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