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81.

open square brackets table row 1 2 3 end table close square brackets space space open square brackets table row 1 0 2 row 2 0 1 row 0 1 2 end table close square brackets space open square brackets table row 2 row 4 row 6 end table close square brackets

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82. Evaluate the following :

open square brackets table row straight a straight b end table close square brackets open square brackets table row straight c row straight d end table close square brackets plus open square brackets table row straight a straight b straight c straight d end table close square brackets open square brackets table row straight a row straight b row straight c row straight d end table close square brackets

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83. Evaluate the following :

open square brackets table row 1 2 end table close square brackets space open square brackets table row 3 row 4 end table close square brackets plus open square brackets table row 1 2 3 4 end table close square brackets open square brackets table row cell negative 1 end cell row 0 row 1 row 0 end table close square brackets

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84. Evaluate the following :

open square brackets table row 1 cell negative 1 end cell row 0 2 row 2 3 end table close square brackets space open parentheses open square brackets table row 1 0 2 row 2 0 1 end table close square brackets minus open square brackets table row 0 1 2 row 1 0 2 end table close square brackets close parentheses

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85. Write as single matrix

open square brackets table row 1 cell negative 2 end cell 3 end table close square brackets space open square brackets table row 2 cell negative 1 end cell 5 row 0 2 4 row cell negative 7 end cell 5 0 end table close square brackets minus open square brackets table row 2 cell negative 5 end cell 7 end table close square brackets

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86. Evaluate

open square brackets table row 1 3 5 end table close square brackets space open square brackets table row 1 0 3 row 2 0 1 row 0 1 2 end table close square brackets space open square brackets table row 1 row 4 row 6 end table close square brackets

106 Views

87. Evaluate

open square brackets table row 1 1 1 end table close square brackets space open square brackets table row 1 0 0 row 0 1 0 row 0 0 1 end table close square brackets space open square brackets table row 4 row 4 row 4 end table close square brackets

79 Views

88.

Let space straight A space equals space open square brackets table row cell cos space straight theta end cell cell sin space straight theta end cell row cell negative sin space straight theta end cell cell cos space straight theta end cell end table close square brackets comma space show space that space straight A squared equals open square brackets table row cell cos space 2 straight theta end cell cell space sin space 2 straight theta end cell row cell negative sin space 2 straight theta end cell cell cos space 2 straight theta end cell end table close square brackets

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89. Evaluate

If A = $open square brackets table row 2 cell negative 1 end cell row 3 2 end table close square brackets space and space straight B equals open square brackets table row 0 4 row cell negative 1 end cell 7 end table close square brackets comma space find space 3 straight A squared minus 2 straight B.$

Here space A space equals space open square brackets table row 2 cell negative 1 end cell row 3 2 end table close square brackets comma space straight B equals open square brackets table row 0 4 row cell negative 1 end cell 7 end table close square brackets comma space therefore space space space 3 straight A squared minus 2 straight B equals 3 space open square brackets table row 2 cell negative 1 end cell row 3 2 end table close square brackets space open square brackets table row 2 cell negative 1 end cell row 3 2 end table close square brackets minus 2 space open square brackets table row 0 4 row cell negative 1 end cell 7 end table close square brackets space space space space space space space space space space space space space space space space space equals space open square brackets table row cell 4 minus 3 space space space space end cell cell negative 2 minus 2 end cell row cell 6 plus 6 space space space space end cell cell negative 3 plus 4 end cell end table close square brackets minus 2 open square brackets table row 0 4 row cell negative 1 end cell 7 end table close square brackets space space space space space space space space space space space space space space space space space equals space 3 space open square brackets table row 1 cell negative 4 end cell row 12 1 end table close square brackets space minus 2 space open square brackets table row 0 4 row cell negative 1 end cell 7 end table close square brackets equals open square brackets table row 3 cell negative 12 end cell row 36 3 end table close square brackets minus open square brackets table row 0 8 row cell negative 2 end cell 14 end table close square brackets space space space space space space space space space space space space space space space space space equals space open square brackets table row cell 3 minus 0 end cell cell negative 12 minus 8 end cell row cell 36 plus 2 end cell cell 3 minus 14 end cell end table close square brackets equals open square brackets table row 3 cell negative 20 end cell row 38 cell negative 11 end cell end table close square brackets

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90. Evaluate

If A =

open square brackets table row 2 cell negative 1 end cell row 3 2 end table close square brackets comma space B equals open square brackets table row 0 4 row cell negative 1 end cell 7 end table close square brackets comma space find space 3 straight A squared minus 2 straight B plus straight I.

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89. EvaluateIf A =