(-7 11 4 -2 A. Given that A=| and B = 2 -10 i. Determine the matrix Pif P=AB. AB. ii. Compute (AB)'. iii. Determine A iv. Determine the matrix given by 34-2B

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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IQuestion 2]
(-7 11
A. Given that A=|
2 -10
4 -2
and B=|
-6 4
i. Determine the matrix P if P=-AB.
ii. Compute (AB)' .
iii. Determine A
iv. Determine the matrix given by 34–2B
B. Solve the following system of equations using Cramer's rule:
2x +3y – z = 9
Зх— у+2г - -1
x+y-z =4
Transcribed Image Text:IQuestion 2] (-7 11 A. Given that A=| 2 -10 4 -2 and B=| -6 4 i. Determine the matrix P if P=-AB. ii. Compute (AB)' . iii. Determine A iv. Determine the matrix given by 34–2B B. Solve the following system of equations using Cramer's rule: 2x +3y – z = 9 Зх— у+2г - -1 x+y-z =4
IQuestion 1]
A. What is the remainder of the polynomial h(x)=5x* - 4x² +3x² +12x-1 when divided
by (3x-1)?
B. Use Synthetic Division to show that (x-2) is a factor of
f(x) = 3x – 25x +58x-40, hence find the remaining factors and zeros of f(x).
C. A function g is defined by g(x)=5x -bx² +x-d. When g(x) is divided by (x+2)
the remainder is 3. Given that (x+1) is a factor of g(x):
i. Compute the values of b and d.
ii. Compute the roots of the equation 5x - bx +x-d = 0.
Transcribed Image Text:IQuestion 1] A. What is the remainder of the polynomial h(x)=5x* - 4x² +3x² +12x-1 when divided by (3x-1)? B. Use Synthetic Division to show that (x-2) is a factor of f(x) = 3x – 25x +58x-40, hence find the remaining factors and zeros of f(x). C. A function g is defined by g(x)=5x -bx² +x-d. When g(x) is divided by (x+2) the remainder is 3. Given that (x+1) is a factor of g(x): i. Compute the values of b and d. ii. Compute the roots of the equation 5x - bx +x-d = 0.
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