The set of values of k, for which A =\(\begin{bmatrix} k& 8 \\[0.3em]

1.	The set of values of k, for which A =\(\begin{bmatrix} k& 8 \\[0.3em] 4 & 2k \end{bmatrix}\)is a singular matrix is :A = [(k,8)(4,2k)](a) {4}(b) {- 4}(c) {- 4, 4}(d) {0}
Answer» Option : (c) As A is singular matrix ⇒ \|A\| = 0 ⇒ 2k² − 32 = 0 ⇒ k = ±4

The set of values of k, for which A =\(\begin{bmatrix} k& 8 \\[0.3em] 4 & 2k \end{bmatrix}\)is a singular matrix is :A = [(k,8)(4,2k)](a) {4}(b) {- 4}(c) {- 4, 4}(d) {0}

Answer»

Option : (c)

As A is singular matrix

⇒ |A| = 0

⇒ 2k² − 32 = 0

⇒ k = ±4

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The set of values of k, for which A =\(\begin{bmatrix} k&amp; 8 \\[0.3em] 4 &amp; 2k \end{bmatrix}\)is a singular matrix is :A = [(k,8)(4,2k)](a) {4}(b) {- 4}(c) {- 4, 4}(d) {0}

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The set of values of k, for which A =\(\begin{bmatrix} k& 8 \\[0.3em] 4 & 2k \end{bmatrix}\)is a singular matrix is :A = [(k,8)(4,2k)](a) {4}(b) {- 4}(c) {- 4, 4}(d) {0}