Find the value of k such that a is singular. (enter your answers as a comma-separated list.) 0 k 1 k 5 k 1 k 0

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07-09-2022
Mathematics

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Find the value of k such that a is singular. (enter your answers as a comma-separated list.) 0 k 1 k 5 k 1 k 0

Sagot :

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Tutorconsortium366idn Tutorconsortium366idn · Answer 1 · 2022-09-10T01:13:38-04:00

The value of k such that a is singular is ±√(5/2).

What do you mean by the term singular?

If a singular matrix's determinant is 0, it is a square matrix. Specifically, if and only if det A = 0, a square matrix A is unique. We are aware that the formula A-1 = (adj A) / can be used to get the inverse of a matrix A. Here, the denominator contains det A, which is the determinant of A. We are aware that a fraction with a denominator of 0 is not defined. Since det A = 0, A-1 is not defined. In other words, a single matrix's inverse is not defined. That is to say, there isn't a matrix B such that AB = BA = I.

A singular matrix means that the detA should be 0.

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Sagot :

What do you mean by the term singular?

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