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Properties of Determinants

If det A=1230...

Question

$If det A = ⎛ ⎜ ⎝ \begin{matrix} 1 & 2 & 3 0 & - 1 & 5 3 & 2 & 4 \end{matrix} ∣ ∣ ∣ ∣, then 2 \times det A = ⎛ ⎜ ⎝ \begin{matrix} 2 & 4 & 6 0 & - 2 & 10 6 & 4 & 8 \end{matrix} ∣ ∣ ∣ ∣$

A

True

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B

False

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Solution

The correct option is B False

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Similar questions

S_{1} :

3 * 3

square matrix A if adj(adj A) = (det A) A then det (adj A) =

{(d e t A)}^{2}

S_{2} :

3 * 3

square matrix a if det (2A) = 8(det A) then det

a d j (2 A) = 8 | a d j A |

A_{3 X 3}

d e t A = 2

d e t A^{- 1} =

2 \times 2

d e t A = 4

then find the product of

d e t (3 A)

d e t (A^{- 1})

A_{3 \times 3}

A = 6

(2 a d j A)

[A]_{2 \times 2}

[B]_{3 \times 3}

be the two matrices such that

det (A) = 2

det (B) = 3.

Then the value of

det (det (A) \cdot B) + det (det (B) \cdot A)

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Properties of Determinants

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