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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

81 Views

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 space space space space

= [ 2 - 0 - 21 - 1 - 4 + 15 5 - 8 + 0 ] - [2 - 5 7 ]

= [ - 19 10 - 3 ] - [ 2 - 5 7 ]

= [ - 19 -2 10+5 - 3 - 7 ]

= [ -21 15 -10]

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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

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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

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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.

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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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