Find X and Y, if 2x+ 3Y = from Mathematics Matrices

Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

Advertisement

Matrices

Short 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.

85 Views

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.

92 Views

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

126 Views

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

89 Views

Advertisement

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

.

90 Views

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

81 Views

Advertisement

57. Find X and Y, if 2x+ 3Y = $open square brackets table row 2 3 row 4 0 end table close square brackets space and space 3 straight X plus 2 straight Y equals open square brackets table row 2 cell negative 2 end cell row cell negative 1 end cell 5 end table close square brackets$

2 straight X plus 3 straight Y equals open square brackets table row 2 3 row 4 0 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 space space space space space... left parenthesis 1 right parenthesis 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 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... left parenthesis 2 right parenthesis

Multiplying (1) by 2 and (2) by 3, we.get,

4 straight X plus 6 straight Y space equals space open square brackets table row 4 6 row 8 0 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 comma.. left parenthesis 3 right parenthesis 9 straight X plus 6 straight Y equals space open square brackets table row 6 cell negative 6 end cell row cell negative 3 end cell 15 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... left parenthesis 4 right parenthesis

Subtracting (3) from (4), we ge},

5 straight X equals open square brackets table row cell 6 minus 4 end cell cell negative 6 minus 6 end cell row cell negative 3 minus 8 end cell cell 15 minus 0 end cell end table close square brackets therefore space space 5 straight X equals open square brackets table row 2 cell negative 12 end cell row cell negative 11 end cell cell negative 15 end cell end table close square brackets space space space space space space rightwards double arrow straight X equals 1 fifth open square brackets table row 2 cell negative 12 end cell row cell negative 11 end cell 15 end table close square brackets therefore space space space space straight X equals open square brackets table row cell 2 over 5 end cell cell negative 12 over 5 end cell row cell negative 11 over 5 end cell 3 end table close square brackets therefore space space space from left parenthesis 1 right parenthesis comma space open square brackets table row cell 4 over 5 end cell cell negative 24 over 5 end cell row cell negative 22 over 5 end cell 6 end table close square brackets therefore space space space 3 straight Y equals space open square brackets table row 2 3 row 4 0 end table close square brackets minus open square brackets table row cell 4 over 5 end cell cell negative 24 over 5 end cell row cell negative 22 over 5 end cell 6 end table close square brackets therefore space space space 3 straight Y equals open square brackets table row cell 2 minus 4 over 5 end cell cell 3 plus 24 over 5 end cell row cell 4 plus 22 over 5 end cell cell 0 minus 6 end cell end table close square brackets space space rightwards double arrow space 3 straight Y equals open square brackets table row cell 6 over 5 end cell cell 39 over 5 end cell row cell 42 over 5 end cell cell negative 6 end cell end table close square brackets therefore space space space space straight Y equals 1 third open square brackets table row cell 6 over 5 end cell cell 39 over 5 end cell row cell 42 over 5 end cell cell negative 6 end cell end table close square brackets space rightwards double arrow space straight Y equals open square brackets table row cell 2 over 5 end cell cell 13 over 5 end cell row cell 14 over 5 end cell cell negative 2 end cell end table close square brackets

161 Views

Advertisement

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.

83 Views

Advertisement

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

85 Views

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

85 Views

5
6
7

Advertisement