Elements of Mathematics Class 12>Chapter 5 - Determinants>EXERCISES 5 (a)>Q 2

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IMPORTANT

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Important Questions on Determinants

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IMPORTANT

Elements of Mathematics Class 12>Chapter 5 - Determinants>EXERCISES 5 (a)>Q 2

The minor and the cofactor of the element

a_{32}

of a determinant of third order are equal.

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IMPORTANT

Elements of Mathematics Class 12>Chapter 5 - Determinants>EXERCISES 5 (a)>Q 2

|\begin{array}{lll} 3 1 3 \\ 0 4 0 \\ 1 3 1 \end{array}| = 0

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IMPORTANT

Elements of Mathematics Class 12>Chapter 5 - Determinants>EXERCISES 5 (a)>Q 2

|\begin{array}{lll} 6 4 2 \\ 4 0 7 \\ 5 3 4 \end{array}| = |\begin{array}{lll} 6 4 5 \\ 4 0 3 \\ 2 7 4 \end{array}|

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IMPORTANT

Elements of Mathematics Class 12>Chapter 5 - Determinants>EXERCISES 5 (a)>Q 2

|\begin{array}{lll} 2 3 4 \\ 5 6 7 \\ 1 2 3 \end{array}| = |\begin{array}{lll} 4 2 3 \\ 7 5 6 \\ 3 1 2 \end{array}|

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12th Odisha Board

IMPORTANT

Elements of Mathematics Class 12>Chapter 5 - Determinants>EXERCISES 5 (a)>Q 3

The value of

|\begin{array}{ccc} 0 & 8 & 0 \\ 25 & 520 & 25 \\ 1 & 410 & 0 \end{array}| =

_____

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IMPORTANT

Elements of Mathematics Class 12>Chapter 5 - Determinants>EXERCISES 5 (a)>Q 3

If

ω

is the cube root of unity, then

|\begin{array}{ccc} 1 & ω & ω^{2} \\ ω & ω^{2} & 1 \\ ω^{2} & 1 & ω \end{array}| =

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12th Odisha Board

IMPORTANT

Elements of Mathematics Class 12>Chapter 5 - Determinants>EXERCISES 5 (a)>Q 3

The value of the determinant

|\begin{array}{lll} 1 a b + c \\ 1 b c + a \\ 1 c a + b \end{array}| =

_____

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12th Odisha Board

IMPORTANT

Elements of Mathematics Class 12>Chapter 5 - Determinants>EXERCISES 5 (a)>Q 3

If

|\begin{array}{lll} a b c \\ b a b \\ x b c \end{array}| = 0

, then

x =

_____