2a Let [1 2 -1] 4 k -2 0 0 -1 [-k k – 4] A B = 4 -1 -2 k – 8 i Express AB in the simplest form ii Find the inverse of A in terms of k, stating the condition under which A-1 xist iii Given that X = y and C = 46 k=5 use the inverse of A to solve the equation AX=C

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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please answer 2a up to c

2a Let
2
[-k
k – 4]
A =
4 k
-2
B =
4
-1
-2
0 0
k – 8
i Express AB in the simplest form
ii Find the inverse of A in terms of k, stating the condition under which A-1 xist
iii Given that X = |y and C =
46
k=5 use the inverse of A to solve the equation AX=C
-11
2b Given that a and b are positive, solve the simultaneous equation
a
36
log3 a + log3 b
2
2c P(x) = x³ + x² + ax +b. If P(x) is divided by (x – 2), the remainder is -7 and If P(x) is divided by
(x + 1), the remainder is 32. Find the value of a and b
Transcribed Image Text:2a Let 2 [-k k – 4] A = 4 k -2 B = 4 -1 -2 0 0 k – 8 i Express AB in the simplest form ii Find the inverse of A in terms of k, stating the condition under which A-1 xist iii Given that X = |y and C = 46 k=5 use the inverse of A to solve the equation AX=C -11 2b Given that a and b are positive, solve the simultaneous equation a 36 log3 a + log3 b 2 2c P(x) = x³ + x² + ax +b. If P(x) is divided by (x – 2), the remainder is -7 and If P(x) is divided by (x + 1), the remainder is 32. Find the value of a and b
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