Using properties of determinants, prove the following |(3a,-a+b,-a | Filo

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Class 12 Math Algebra Determinants

Using properties of determinants, prove the following

∣ ∣ ∣ ∣ ∣ ∣ ∣ 3 a a - b a - c - a + b 3 b b - c - a + c c - a 3 c ∣ ∣ ∣ ∣ ∣ ∣ ∣ = 3 (a + b + c) (a b + b c + c a)

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Similar topics

determinants

matrices

binomial theorem

permutations and combinations

complex numbers and quadratic equations

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determinants

matrices

binomial theorem

permutations and combinations

complex numbers and quadratic equations

Related Questions

A = [25 3 - 2]

A^{- 1}

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The multiplication inverse of

A = [cos θ sin θ - sin θ cos θ]

play button image

⎣ ⎢ ⎡ 111343344 ⎦ ⎥ ⎤ ⎣ ⎢ ⎡ x y z ⎦ ⎥ ⎤ = ⎣ ⎢ ⎡ 121513 ⎦ ⎥ ⎤

then the values of

x, y, z

respectively are

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A = ⎣ ⎢ ⎡ 231 - 3 21 5 - 4 - 2 ⎦ ⎥ ⎤

A^{- 1}

A^{- 1}

solve the system of equations

2 x - 3 y + 5 z = 11

3 x + 2 y - 4 z = 5

x + y - 2 z = 3

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If A is a non singular matrix then which of the following is not true:

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∣ ∣ ∣ ∣ ∣ 54 - 3 2 ∣ ∣ ∣ ∣ ∣

A A^{- 1}

play button image

The reciprocal matrix of

⎣ ⎢ ⎡ 101012 2 - 1 1 ⎦ ⎥ ⎤

play button image

Let A be a square matrix all of whose entries are integers. Then which one of the following is true?

play button image

Related Questions

A = [25 3 - 2]

A^{- 1}

play button image

The multiplication inverse of

A = [cos θ sin θ - sin θ cos θ]

play button image

⎣ ⎢ ⎡ 111343344 ⎦ ⎥ ⎤ ⎣ ⎢ ⎡ x y z ⎦ ⎥ ⎤ = ⎣ ⎢ ⎡ 121513 ⎦ ⎥ ⎤

then the values of

x, y, z

respectively are

play button image

A = ⎣ ⎢ ⎡ 231 - 3 21 5 - 4 - 2 ⎦ ⎥ ⎤

A^{- 1}

A^{- 1}

solve the system of equations

2 x - 3 y + 5 z = 11

3 x + 2 y - 4 z = 5

x + y - 2 z = 3

play button image

If A is a non singular matrix then which of the following is not true:

play button image

∣ ∣ ∣ ∣ ∣ 54 - 3 2 ∣ ∣ ∣ ∣ ∣

A A^{- 1}

play button image

The reciprocal matrix of

⎣ ⎢ ⎡ 101012 2 - 1 1 ⎦ ⎥ ⎤

play button image

Let A be a square matrix all of whose entries are integers. Then which one of the following is true?

play button image

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Home
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Privacy Policy and Terms & Conditions

Copyright FILO EDTECH PVT. LTD. 2021