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Matrix Definition and Representation

Question

Find the value of $λ$ , so that the matrix
$[\begin{matrix} 5 - λ λ + 1 24 \end{matrix}]$ may be singular.

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Solution

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Similar Questions

Q1

Find the of

λ

, so that the matrix

[\begin{matrix} 5 - λ & λ + 1 2 & 4 \end{matrix}]

may be singular.

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Q2

For what value of x, the following matrix is singular?

[\begin{matrix} 5 - x & x + 1 \\ 2 & 4 \end{matrix}]

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Q3

If

\to a = (2^i - 4^j + 5^k)

then find the value of

λ

so that

λ \to a

may be a unit vector.

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Q4

If the matrix

⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & λ + 2 2 & 4 & 8 3 & 5 & 10 \end{matrix} ⎤ ⎥ ⎦

is singular, then value of

λ

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Q5

Let

A

be a non-singular matrix and

X \neq 0, Y \neq 0

be two column matrices such that

A X = (\frac{1}{100}) X a n d A^{- 1} Y = λ Y

, find one of the possible values of

λ

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