Important Questions of Determinants Mathematics | Zigya

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 Multiple Choice QuestionsShort Answer Type

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161.

Compute the adjoint of the matrix straight A space equals space open square brackets table row 1 cell space space space space space space 2 end cell row 3 cell space space minus 5 end cell end table close square brackets
and verify that A (Adj A) = | A | 1.

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 Multiple Choice QuestionsLong Answer Type

162.

Verify that A (adj A) = (adj A) = | A | I
where straight A space equals space open square brackets table row 2 cell space space space 1 end cell cell space space space space space 5 end cell row 3 cell space minus 2 end cell cell space space space minus 4 end cell row cell negative 3 end cell cell space 1 end cell cell space space minus 2 end cell end table close square brackets

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163.

Verify that A (adj A) = (adj A) = | A | I
where 

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 Multiple Choice QuestionsShort Answer Type

164. Verify A(adj A) = (adj A) A = | A | 1 for
straight A space equals space open square brackets table row cell space space space 2 end cell cell space space space space 3 end cell row cell negative 4 end cell cell space space minus 6 end cell end table close square brackets.
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 Multiple Choice QuestionsLong Answer Type

165.

Verify A(adj A) = (adj A) A = | A | 1 for the matrix
straight A space equals space open square brackets table row 1 cell space space space space 1 end cell cell space space space space space space 2 end cell row 3 cell space space space space 0 end cell cell space space minus 2 end cell row 1 cell space space space space 0 end cell cell space space space space space 3 end cell end table close square brackets.

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166.

Verify that A(adj. A) = (adj. A) A = | A | I where
straight A space equals space open square brackets table row 1 cell space space 2 end cell cell space space 3 end cell row 2 cell space space 3 end cell cell space space 2 end cell row 3 cell space 3 end cell cell space space 4 end cell end table close square brackets

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167.

If straight A space equals space open square brackets table row 1 cell space minus 1 end cell cell space space 1 end cell row 2 cell space 3 end cell cell space space 0 end cell row 18 cell space 2 end cell cell space space 10 end cell end table close square brackets comma
then verify that A (adj. A) = O.

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 Multiple Choice QuestionsShort Answer Type

168.

Find the inverse of open square brackets table row 2 cell space space space minus 2 end cell row 4 cell space space space space space space 3 end cell end table close square brackets

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169.

Find the inverse of open square brackets table row cell negative 1 end cell cell space space space space 5 end cell row cell negative 3 end cell cell space space space space 2 end cell end table close square brackets

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170. Find the sum of open square brackets table row 2 cell space space space space minus 3 end cell row 5 cell space space space minus 7 end cell end table close square brackets and its multiplication inverse. 
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