then find a matrix X such that 3A - 2B + 4X=O, where  from M

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 Multiple Choice QuestionsShort Answer Type

51. Find a matrix X such that 2A + B + X = O,  where straight A equals open square brackets table row cell negative 1 end cell 2 row 3 4 end table close square brackets comma space straight B equals open square brackets table row 3 cell negative 2 end cell row 1 5 end table close square brackets.
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52.
If space straight A equals open square brackets table row 8 0 row 4 cell negative 2 end cell row 3 6 end table close square brackets comma space straight B equals open square brackets table row 2 cell negative 2 end cell row 4 2 row cell negative 5 end cell 1 end table close square brackets, then find the matrix X. such that 2A + 3X = 5B.
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53. If space straight A space equals space open square brackets table row 2 3 row 4 5 end table close square brackets comma space straight B equals open square brackets table row 3 4 row 5 6 end table close square brackets comma space then find a matrix X such that 3A - 2B + 4X=O, where straight O equals open square brackets table row 0 0 row 0 0 end table close square brackets


We have

straight A equals open square brackets table row 2 3 row 4 5 end table close square brackets comma space straight B equals open square brackets table row 3 4 row 5 6 end table close square brackets

Now    3A - 2B + 4X = O   rightwards double arrow  4X = -3A + 2B

rightwards double arrow space space space 4 straight X space equals space minus 3 space open square brackets table row 2 3 row 4 5 end table close square brackets plus 2 space open square brackets table row 3 4 row 5 6 end table close square brackets
rightwards double arrow space space space 4 straight X space equals space open square brackets table row cell negative 6 end cell cell negative 9 end cell row cell negative 12 end cell cell negative 15 end cell end table close square brackets plus open square brackets table row 6 8 row 10 12 end table close square brackets
rightwards double arrow space space space 4 straight X space equals space open square brackets table row cell negative 6 plus 6 end cell cell negative 9 plus 8 end cell row cell negative 12 plus 10 end cell cell negative 15 plus 12 end cell end table close square brackets
rightwards double arrow space space space 4 straight X equals open square brackets table row 0 cell negative 1 end cell row cell negative 2 end cell cell negative 3 end cell end table close square brackets space space space rightwards double arrow space straight X equals 1 fourth open square brackets table row 0 cell negative 1 end cell row cell negative 2 end cell cell negative 3 end cell end table close square brackets
rightwards double arrow space space space straight X equals open square brackets table row 0 cell negative 1 fourth end cell row cell negative 1 half end cell cell negative 3 over 4 end cell end table close square brackets

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54. Find X if Y equals open square brackets table row 3 2 row 1 4 end table close square brackets space and space 2 space straight X plus straight Y equals open square brackets table row 1 0 row cell negative 3 end cell 2 end table close square brackets
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55. Find X and Y if X + Y = open square brackets table row 7 0 row 2 5 end table close square brackets comma space X minus Y equals open square brackets table row 3 0 row 0 3 end table close square brackets.
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56. Find matrices X and Y if X + Y = open square brackets table row 5 2 row 0 9 end table close square brackets space and space straight X minus straight Y space open square brackets table row 3 6 row 0 cell negative 1 end cell end table close square brackets
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57. Find X and Y, if 2x+ 3Y = open square brackets table row 2 3 row 4 0 end table close square brackets space and space 3 straight X plus 2 straight Y equals open square brackets table row 2 cell negative 2 end cell row cell negative 1 end cell 5 end table close square brackets
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58. If space 2 straight X plus 3 straight Y equals space open square brackets table row 2 3 row 4 0 end table close square brackets space and space 3 straight X plus 2 straight Y equals open square brackets table row cell negative 2 end cell 3 row 1 cell negative 5 end cell end table close square brackets .find X and Y.
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59. Find matrices X and Y, if

2 straight X minus straight Y equals open square brackets table row 6 cell negative 6 end cell 0 row cell negative 4 end cell 2 1 end table close square brackets space and space straight x plus 2 straight y equals open square brackets table row 3 2 5 row cell negative 2 end cell 1 cell negative 7 end cell end table close square brackets space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space
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60. Find the values of .x and y from the following equation

2 space open square brackets table row straight X 5 row 7 cell straight Y minus 3 end cell end table close square brackets plus open square brackets table row 3 cell negative 4 end cell row 1 2 end table close square brackets equals open square brackets table row 7 6 row 15 14 end table close square brackets
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