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WORKSHEET 1 [QUESTION 1] Use the matrices (A -J), below to answer the question that follows. Show all work. 10 11 3 -1 -25 4
WORKSHEET 1 [QUESTION 1] Use the matrices (A -J), below to answer the question that follows. Show all work. 10 11 3 -1 -25 4 Determine the order (dimensions) of each matrix. A B D_ ,E_ , F_ G_ , H [10 MARKS] [QUESTION 2] Determine if the following matrices have an inverse. If yes, find the inverse. i. A = 3 4 Yes or No A-1 =_ N 4 10 ii. B = 2 5 Yes or No B-I = iii. c= Yes or No C-1 = _ iv. D = 4 - 1 Yes or No D. = [15 MARKS][QUESTION 3] Solve for x and y. NOTE: TWO MATRICES, A & B ARE EQUAL IF THEY ARE OF THE SAME ORDER & CORRESPONDING ELEMENTS ARE EQUAL. i. -5x 1 13 21 13 [12 MARKS] [QUESTION 4] Solve each of the following systems of equations using Cramer's Rule 3x + 3y - z =19 5x + 4y - 2z =28 [15 MARKS] 2x + 2y - z = 12 2 x+ 2y+ 2= 6 ii. 3x+ 2y+2z=8.48 [15 MARKS] 4x +3y+2z =10.46 END
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