0 [3 3) a) Given; A = 7 11 - L4 [6 10 4 151 19 1 12 25 Use the above matrices to find the following: (i) BC (ii) ACT (iii) 2C-10A Given that H = b) Two matrices H and M are said to be similar/identical. [x+2 -4 3 b -9 and -2 5 C m 7 and C = 11 6 [6 8 5] c) Given that A = 3 4 1 4 0 31 (i) (ii) m M = 7 (i) Calculate the values for m and x. L-2 171 9 40] -4 v+x] d-c -9 d 14 Calculate values for the cofactors C31, C32 and C33- Hence or otherwise, determine |A|.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.4: Determinants
Problem 53PS
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Question
[3
3) a) Given; A = 7
L4
2
Given that H =
[6
B =
10 4 151
19 1 12 25
Use the above matrices to find the following:
(i)
BC
(ii)
ACT
(iii)
2C-10A
b) Two matrices H and M are said to be similar/identical.
[x+2 -4 3
b
m
-2 5
[6
c) Given that A = 3
(i)
(ii)
7 17
and C=11 9
6 40]
8 51
4
1
[403]
-9 and
с
(i) Calculate the values for m and x.
m
M = 7
-2
-4 v+x]
-9
14
d-c
d
Calculate values for the cofactors C31, C32 and C33.
Hence or otherwise, determine |A|.
d) Use the below system of equations to answer the following:
12x - 3y = 57
4x + 10y = 30
From the matrix form for the system of equations above, find A-¹.
Transcribed Image Text:[3 3) a) Given; A = 7 L4 2 Given that H = [6 B = 10 4 151 19 1 12 25 Use the above matrices to find the following: (i) BC (ii) ACT (iii) 2C-10A b) Two matrices H and M are said to be similar/identical. [x+2 -4 3 b m -2 5 [6 c) Given that A = 3 (i) (ii) 7 17 and C=11 9 6 40] 8 51 4 1 [403] -9 and с (i) Calculate the values for m and x. m M = 7 -2 -4 v+x] -9 14 d-c d Calculate values for the cofactors C31, C32 and C33. Hence or otherwise, determine |A|. d) Use the below system of equations to answer the following: 12x - 3y = 57 4x + 10y = 30 From the matrix form for the system of equations above, find A-¹.
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