Please solve question 1 different and question 2 different la. Express2.r – 1(2r – 3)(r – 1)in partial fraction formlb Given a 3 x 3 matrix in terms of a scalar e and that det(A) = 8 , find the value(s) of c if2-13A =43c+7C-2le Given that2 loga(r + 15) – log, r = 6(a) Show that1² – 34r + 225 = 0(b) Hence or otherwise, solve the equation2 log, (r+ 15) – log, r6.%3D 2a Let1 2-kk - 414 k -2B =4-1-200-0 k-8i Express AB in the simplest formii Find the inverse of A in terms of k, stating the condition under which A- existiii Given that X = y and C =46 , k=5 use the inverse of A to solve the equatio5.2b Given that a and b are positive, solve the simultaneous equationa = 36log, a + log, b= 22e P(z) = r*+r? + ar +b. If P(x) is divided by (r- 2), the remainder is –7 and If P(x) is(r + 1), the remainder is 32. Find the value of a and b3a A transformation is defined by the 2 x 2 matrix-ab-A =awhere a and b are scalars. If n is an odd integer, prove thatA"%3D

Name: Please solve question 1 different and question 2 different la. Express
Uploaded: 2024-03-20T07:06:27.000Z
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Description: Please solve question 1 different and question 2 different la. Express2.r – 1(2r – 3)(r – 1)in partial fraction formlb Given a 3 x 3 matrix in terms of a scalar e and that det(A) = 8 , find the value(s) of c if2-13A =43c+7C-2le Given that2 loga(r + 1

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la. Express 2.r – 1 (2r – 3)(1 – 1) in partial fraction form lb Given a 3 x 3 matrix in terms of a scalar e and that det(A) = 8 , find the value(s) of c if 2 -1 3 A = 4 C-2 3 c+7 le Given that 2 log2(r + 15) – logą r = 6 (a) Show that 1² – 34r + 225 = 0 (b) Hence or otherwise, solve the equation 2 log2 (r + 15) – log, r 6. %3D