In a matrix A of order 3 - find 3 A -A- 3 AB- 9 AC- 27 AD- 6 A

For any square matrix A of order n, kA nbsp;= nbsp;knA, nbsp;where nbsp;k nbsp;is nbsp;constant Here, the order of the matrix is n, nbsp; 3A=33A=2 ...

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Standard XII

Mathematics

Multiplication of Matrices

In a matrix A...

Question

In a matrix A of order 3, find $(\begin{matrix} 3 A \end{matrix} |$ ?

3 (\begin{matrix} A \end{matrix} |

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9 (\begin{matrix} A \end{matrix} |

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27 (\begin{matrix} A \end{matrix} |

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6 (\begin{matrix} A \end{matrix} |

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Solution

The correct option is C $27 (\begin{matrix} A \end{matrix} |$
For any square matrix A of order n,
$(kA | = k^{n} (A |, where k is constant$
Here, the order of the matrix is n,
$(3 A | = 3^{3} (A | = 27 (A |$

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Similar questions

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(\begin{matrix} 3 A \end{matrix} |

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Q. A matrix A of order 3 × 3 has determinant 5. What is the value of |3A|?

Q. Among the following, the correct statement is

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

ii)

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In a matrix A of order 3, find (3A|?

The correct option is C 27(A|For any square matrix A of order n, (kA| = kn(A|, where k is constant Here, the order of the matrix is n, (3A|=33(A|=27(A|

In a matrix A of order 3, find $(\begin{matrix} 3 A \end{matrix} |$ ?

The correct option is C $27 (\begin{matrix} A \end{matrix} |$
For any square matrix A of order n,
$(kA | = k^{n} (A |, where k is constant$
Here, the order of the matrix is n,
$(3 A | = 3^{3} (A | = 27 (A |$