3 -2 0 1. Given that G=-5 0 -4 and K = 0 9 1 a. Derive the matrix J such that matrix J = GK. Using your answer from part a. above, b. Transpose matrix J. c. Calculate the value for the cofactor 23 (C23). m -2 2. Given the function h(t) = 1 + nt¯² + p, where m, n and p are constants. The following relations exist between the function and its derivatives: h(1) = 5 h' (1)=-18 h"(1) = 70 From the above information, a. Derive three equations. b. Hence or otherwise, write the three equations in its equivalent matrix form and state each component of the matrix form along with their dimensions. c. Using Cramer's rule, calculate the values of m, n and p. d. Hence, state the function h(t). e. Compute h(0).
3 -2 0 1. Given that G=-5 0 -4 and K = 0 9 1 a. Derive the matrix J such that matrix J = GK. Using your answer from part a. above, b. Transpose matrix J. c. Calculate the value for the cofactor 23 (C23). m -2 2. Given the function h(t) = 1 + nt¯² + p, where m, n and p are constants. The following relations exist between the function and its derivatives: h(1) = 5 h' (1)=-18 h"(1) = 70 From the above information, a. Derive three equations. b. Hence or otherwise, write the three equations in its equivalent matrix form and state each component of the matrix form along with their dimensions. c. Using Cramer's rule, calculate the values of m, n and p. d. Hence, state the function h(t). e. Compute h(0).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 21E
Related questions
Question
Transcribed Image Text:3
-2
0
1. Given that
G=-5
0
-4
and
K =
0
9
1
a. Derive the matrix J such that matrix J = GK.
Using your answer from part a. above,
b. Transpose matrix J.
c. Calculate the value for the cofactor 23 (C23).
m
-2
2. Given the function h(t) = 1 + nt¯² + p, where m, n and p are constants. The
following relations exist between the function and its derivatives:
h(1) = 5
h' (1)=-18
h"(1) = 70
From the above information,
a. Derive three equations.
b. Hence or otherwise, write the three equations in its equivalent matrix form
and state each component of the matrix form along with their dimensions.
c. Using Cramer's rule, calculate the values of m, n and p.
d. Hence, state the function h(t).
e. Compute h(0).
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