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Standard XII

Mathematics

Definition of a Determinant

Assertion :Th...

Question

Assertion :The determinants of a matrix $A = [a_{i j}]_{5 \times 5}$ where $a_{i j} + a_{j i} = 0$ for each i and j is zero.
Because Reason: The determinant of a skew symmetric matrix of odd order is zero.

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Assertion is incorrect but Reason is correct

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Solution

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
It is fundamental concept that determinant of skew symmetric matrix of odd order is zero.

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Similar questions

Assertion (A) Order and molecularity are same.

Reason (R) Order is determined experimentally and molecularity is the sum of the stoichimetric coeffcient of rate determining elementary step.

(a) Both assertion and reason are correct and the reason is correct explanation of assertion
(b) Both assertion and reason are correct, but reason does not explain assertion.
(c) Assertion is correct, but reason is incorrect
(d) Both assertion and reason are incorrect
(e) Assertion is incorrect but reason is correct.

Assertion (A) Order of the reaction can be zero or fractional.

Reason (R) We cannot determine order from balanced chemical equation.

Q. Assertion: The compressibility factor for

H_{2}

and

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(1 + \frac{P b}{R T})

Reason: The compressibility factor for

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Q. Assertion :The determinant of a matrix

A = [a_{i j}]_{5 \times 5}

where

a_{i j} + a_{i j} = 0

for all i and j is zero Reason: The determinant of a skew-symmetric matrix of odd order is zero.

Assertion (A) Rate constant determined from Arrhenius equation are fairly accurate for simple as well as complex molecules.

Reason (R) Reactant molecules undergo chemical change irrespective of their orientation during collision.

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Assertion :The determinants of a matrix A=[aij]5×5 where aij+aji=0 for each i and j is zero.Because Reason: The determinant of a skew symmetric matrix of odd order is zero.

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for AssertionIt is fundamental concept that determinant of skew symmetric matrix of odd order is zero.

Assertion :The determinants of a matrix $A = [a_{i j}]_{5 \times 5}$ where $a_{i j} + a_{j i} = 0$ for each i and j is zero.
Because Reason: The determinant of a skew symmetric matrix of odd order is zero.

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
It is fundamental concept that determinant of skew symmetric matrix of odd order is zero.