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121.

Solve space the space matrix space equation space open square brackets table row straight x 1 end table close square brackets space open square brackets table row 1 0 row cell negative 2 end cell cell negative 3 end cell end table close square brackets space open parentheses table row straight x row 5 end table close parentheses equals 0

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122. Find the value of x which makes the following product equal to I :

open square brackets table row 2 0 7 row 0 1 0 row 1 2 1 end table close square brackets space open square brackets table row cell negative x end cell cell negative 14 end cell cell 7 x end cell row 0 1 0 row x cell 4 x end cell cell negative 2 x end cell end table close square brackets

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123.

Find space straight x space such space that open square brackets table row 1 2 1 end table close square brackets space space open square brackets table row 1 2 0 row 2 0 1 row 1 0 2 end table close square brackets space space open square brackets table row 0 row 2 row straight x end table close square brackets equals 0

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124.

Find space straight x space such space that space open square brackets table row cell 1 space space space straight x end cell 1 end table close square brackets space space open square brackets table row 1 3 2 row 2 5 1 row 15 3 2 end table close square brackets space space open square brackets table row 1 row 2 row straight x end table close square brackets space equals 0

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125.

Find space straight x space such space that space space space open square brackets table row cell 1 space space straight x space space 1 end cell end table close square brackets space open square brackets table row 1 2 3 row 4 5 6 row 3 2 5 end table close square brackets space open square brackets table row 1 row cell negative 2 end cell row 3 end table close square brackets space equals 0

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126.

Find space straight x space such space that space space open square brackets table row 1 cell space 1 end cell cell space straight x end cell end table close square brackets space space space open square brackets table row 1 0 2 row 0 2 1 row 2 1 0 end table close square brackets space space open square brackets table row 1 row 1 row 1 end table close square brackets space equals 0

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127.

Find space straight x space such space that space space space open square brackets table row cell x minus 5 minus 1 end cell end table close square brackets space space open square brackets table row 1 0 2 row 0 2 1 row 2 0 3 end table close square brackets space space open square brackets table row x row 4 row 1 end table close square brackets equals 0 space

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Let space straight A space equals space open square brackets table row 1 0 row 0 0 end table close square brackets space comma space space straight B equals space open square brackets table row 0 0 row 0 2 end table close square brackets therefore space space space AB equals open square brackets table row 1 0 row 0 0 end table close square brackets space open square brackets table row 0 0 row 0 2 end table close square brackets space equals space open square brackets table row cell 0 plus 0 end cell cell 0 plus 0 end cell row cell 0 plus 0 end cell cell 0 plus 0 end cell end table close square brackets space equals space open square brackets table row 0 0 row 0 0 end table close square brackets equals 0 therefore space space space AB equals space space 0 space even space if space straight A space not equal to space 0 comma space straight B space not equal to space 0

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129. Give example to show that AB = O but BA ≠ O

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130. Give example to show that AB ≠ O but BA = O.

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