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f The dimensions of the product matrix A_{2 × 5} B_{5 × 3} is f

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f State the dimensions of the product matrix M_{5 × 4} N_{6 × 4}. f

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f A_{2 × 4}, B_{4 × 2} and C_{4 × 2} are three matrices, then the dimensions of the product matrix A (B + C) are f

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f If B = (34 10) and C = (4 374), then find CB. f

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f P = (10 15 851091) and Q = (515151515). Find PQ. f

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f If A = (0 990), then which of the following is correct? f

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f If A = (4351), B = (5535) and C = (0335), then (AB) C = ________. f

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f Which of the following is equal to the product matrix AB, where A = (8 8 88) and B = (2222). f

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f If P = (1 20312 101), I = (100010001) and C = (1 22103), then (P + I) C = __________. f

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f If A = (3267) and O = (0000), then AO = __________. f

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f Find x and y if (10244 6) (x0y6) = (4414410 36). f

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f State the dimensions of the product matrix M_{2 × 1} N_{3 × 1}. f

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f A_{2 x 3}, B_{3 x 5} and C_{1 x 3} are three matrices. Which of the following is possible? f

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DDD A_{3 × 7}, B_{7 × 4} and C_{7 × 4} are three matrices, then the dimensions of the product matrix A (B + C) are DDD

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DDD If B = (41 20) and C = (1 451), then find CB. DDD

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DDD P = (4444 40) and Q = ( 484 240). Find PQ. DDD

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DDD The dimensions of the product matrix A_{3 × 5} B_{5 × 2} is DDD

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DDD Find the product of (1101) (1301) (1501) ........................ (19901). DDD

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DDD If E(θ) = (cos θsin θ sin θcos θ), then find the value of E(α)·E(β). DDD

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DDD The table shows the price list of fresh fruits in ($) per pound in a super market. The items purchased (in pounds) by Sheela and Valerie are as follows. Sheela: Pineapple  6, Grapes  10, Apples  17, and Bananas  13. Valerie: Pineapple  10, Grapes  8, Apples  17, and Bananas  14. Calculate the amount spent by them.
Name of the Fruit  cost ($) per pound  Pineapple (P)  1.45  Grapes (G)  1.27  Apples (A)  0.85  Bananas (B)  0.45 
DDD

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DDD P = (43 44 641074) and Q = (444444444). Find PQ. DDD

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DDD If D = (2 2 4 1341 2 3), then which of the following is correct? DDD

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DDD If B = (0110), then which of the following is correct? DDD

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DDD If A = (0 220), then which of the following is correct? DDD

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DDD If A = (7352), B = (7525) and C = (1115), then (AB) C = ________. DDD

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DDD Which of the following is equal to the product matrix AB, where A = (5 5 55) and B = (5555). DDD

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DDD If A = (3462) and O = (0000), then AO = __________. DDD

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DDD If A = (1 102) and B = (2130), then (A+B)^{2} = _________. DDD

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DDD If P = (xy), Q = (ahhb) and R = (xy) then (PQ)R = ________. DDD

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DDD Which of the following is equivalent to P (Q + R)? Evaluate it using P = (0123), Q = ( 102 3) and R = (12 11). DDD

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DDD Which of the following is equivalent to the product matrix (A  B) C? Evaluate it using A = ( 1210), B = (0121) and C = (1111). DDD

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DDD If P = (2 51725 212), I = (100010001) and C = (2 55217), then (P + I) C = __________. DDD

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DDD Find x and y if (8122 6) (x0y6) = (28728 36). DDD

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