If A is a 3- 3 non-singular matrix- then the value of -5A- is

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Standard XII

Mathematics

Global Maxima

If A is a 3× ...

Question

If $A$ is a $3 \times 3$ non-singular matrix, then the value of $| 5 A |$ is

5^{3} | A |

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5^{5} | A |

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5^{2} | A |

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5 | A |

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Solution

The correct option is A $5^{3} | A |$
$K A = K^{m} | A |$ where $m$ is the order of matrix $A$
$∴ | 5 A | = 5^{3} | A |$

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If A is a 3×3 non-singular matrix, then the value of |5A| is

The correct option is A 53|A|KA=Km|A| where m is the order of matrix A ∴|5A|=53|A|

If $A$ is a $3 \times 3$ non-singular matrix, then the value of $| 5 A |$ is

The correct option is A $5^{3} | A |$
$K A = K^{m} | A |$ where $m$ is the order of matrix $A$
$∴ | 5 A | = 5^{3} | A |$