MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

De Morgan's Law

Ifand Aij is ...

Question

If and A_ij is Cofactors of a_ij, then value of Δ is given by

Open in App

Solution

Answer: D

We know that:

Δ = Sum of the product of the elements of a column (or a row) with their corresponding cofactors

∴Δ = a₁₁A₁₁ + a₂₁A₂₁ + a₃₁A₃₁

Hence, the value of Δ is given by the expression given in alternative D.

The correct answer is D.

Suggest Corrections

thumbs-up

0

Similar questions

Δ = ∣ ∣ ∣ ∣ \begin{matrix} a_{11} & a_{12} & a_{13} a_{21} & a_{22} & a_{23} a_{31} & a_{32} & a_{33} \end{matrix} ∣ ∣ ∣ ∣

A_{i j}

is cofactors of

a_{i j}

, then the value of

Δ

A = ⎡ ⎢ ⎣ \begin{matrix} 3 & 2 & 4 1 & 2 & 1 3 & 2 & 6 \end{matrix} ⎤ ⎥ ⎦

A_{i j}

are the cofactors of

a_{i j}

a_{11} A_{11} + a_{12} A_{12} + a_{13} A_{13}

A_{i j}

is the cofactor of the element

a_{i j}

of the determinant

⎡ ⎢ ⎣ \begin{matrix} 2 & - 3 & 5 6 & 0 & 4 1 & 5 & - 7 \end{matrix} ⎤ ⎥ ⎦

then write the value of

a_{32} . A_{32} .

A = [a_{i j}]

is a matrix of order

2 \times 2

, such that |A| = - 15 and

C_{i j}

represents the cofactor of

a_{i j}

a_{21} C_{21} + a_{22} C_{22} .

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

be a square matirx and let

c_{i j}

a_{i j}

C = [c_{i j}]

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Operations on Sets

MATHEMATICS

Watch in App

explore_more_icon

Explore more

De Morgan's Law

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon