State whether the matrix 2364 is singular or non-singular-

Let #160; #916; #160;= #160;2 #160; #160; #160;3 #160;6 #160; #160; #160;4= #160;2 #160; #215; #160;4 #160; #160;6 #160; ...

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Standard XII

Mathematics

Inverse of a Matrix

State whether...

Question

State whether the matrix $[\begin{matrix} 2 & 3 \\ 6 & 4 \end{matrix}]$ is singular or non-singular.

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Solution

$Let Δ = |2 3 6 4| = \{(2 \times 4) - (6 \times 3)\} = 8 - 18 = - 10 A matrix is said to be singular if its determinant is equal to zero . Since Δ = - 10 \neq 0, the given matrix is non - singular .$

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State whether the matrix 2364 is singular or non-singular.

Let Δ = 2 3 6 4= 2 × 4 - 6 × 3 = 8 - 18 = -10A matrix is said to be singular if its determinant is equal to zero.Since Δ=-10≠0, the given matrix is non-singular.

State whether the matrix $[\begin{matrix} 2 & 3 \\ 6 & 4 \end{matrix}]$ is singular or non-singular.

$Let Δ = |2 3 6 4| = \{(2 \times 4) - (6 \times 3)\} = 8 - 18 = - 10 A matrix is said to be singular if its determinant is equal to zero . Since Δ = - 10 \neq 0, the given matrix is non - singular .$