Mathematics Crash Course MHT-CET>Chapter 10 - Determinants and Matrices>Exercise 1>Q 71

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IMPORTANT

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The value of the determinant $|\begin{matrix} 265 & 240 & 219 \\ 240 & 225 & 198 \\ 219 & 198 & 181 \end{matrix}|$ is

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Important Questions on Determinants and Matrices

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IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 10 - Determinants and Matrices>Exercise 1>Q 72

If

U = [\begin{array}{l} 2 & - 3 & 4 \end{array}], V = [\begin{array}{l} 3 \\ 2 \\ 1 \end{array}], X = [\begin{array}{l} 0 & 2 & 3 \end{array}]

and

Y = [\begin{array}{l} 2 \\ 2 \\ 4 \end{array}]

then the value of

U V + X Y

is

EASY

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IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 10 - Determinants and Matrices>Exercise 1>Q 73

If

2 A + 3 B = [\begin{matrix} 2 & - 1 & 4 \\ 3 & 2 & 5 \end{matrix}]

and

A + 2 B = [\begin{matrix} 5 & 0 & 3 \\ 1 & 6 & 2 \end{matrix}]

, then

B

is

EASY

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IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 10 - Determinants and Matrices>Exercise 1>Q 74

The value of the determinant

|\begin{matrix} 1 & \cos (α - β) & \cos α \\ \cos (α - β) & 1 & \cos β \\ \cos α & \cos β & 1 \end{matrix}|

is

EASY

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IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 10 - Determinants and Matrices>Exercise 1>Q 75

The value of determinant

|\begin{matrix} 1 + a & 1 & 1 \\ 1 & 1 + a & 1 \\ 1 & 1 & 1 + a \end{matrix}|

is

EASY

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IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 10 - Determinants and Matrices>Exercise 1>Q 76

The value of the determinant

Δ = |\begin{matrix} 1! & 2! & 3! \\ 2! & 3! & 4! \\ 3! & 4! & 5! \end{matrix}|

is

EASY

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IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 10 - Determinants and Matrices>Exercise 1>Q 77

The determinant

|\begin{matrix} a + b + n c & (n - 1) a & (n - 1) b \\ (n - 1) c & b + c + n a & (n - 1) b \\ (n - 1) c & (n - 1) a & c + a + n b \end{matrix}|

is equal to

EASY

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IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 10 - Determinants and Matrices>Exercise 1>Q 78

If

|\begin{matrix} - a^{2} & a b & a c \\ a b & - b^{2} & b c \\ a c & b c & - c^{2} \end{matrix}| = λ a^{2} b^{2} c^{2},

then the value of

λ

is

EASY

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IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 10 - Determinants and Matrices>Exercise 1>Q 79

The determinant

|\begin{matrix} a & b & a α + b \\ b & c & b α + c \\ a α + b & b α + c & 0 \end{matrix}|

is equal to zero, if