1. This Question Is Compulsory (a) [12 marks] If a=-43-2k, 5-i-k and 2-2+j+k, obtain the following (d) (8 marks] For the

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1 This Question Is Compulsory A 12 Marks If A 43 2k 5 I K And 2 2 J K Obtain The Following D 8 Marks For The 1 (26.81 KiB) Viewed 12 times

1. This Question Is Compulsory (a) [12 marks] If a=-43-2k, 5-i-k and 2-2+j+k, obtain the following (d) (8 marks] For the two matrices (H) (ii) (iv) (b) [3 marks] Find the point at which the line f(t)-(1+2)+213-tk (where t is a real number) and the plane z-2y+z=7 intersect (e) [8 marks] Find the following Laplace transform and inverse Laplace transform: (1) Z[e (2²+4)]. (ii) x 5, Ux (6×k)-a, 2(8-5)+38. ^-(-³³). A= Find (1) BA, (i) A, (ii) BT and (iv) A(B¹). (e) (6 marks] Find the determinant and trace of the matrix and use it to compute M 1 50 01 27-3 . 0 (f) (6 marks) Solve the following system of simultaneous equations using the inverse matrix B- x+2y-2, 1=+1-P (8) (7 marks] Find the characteristic equation for the matrix M- Page 2 of 4