Question

firstly go through the attachment. now answer that which of the following options is/are correct.

(1) X is a symmetric matrix.
(2) if $\sf x \begin{array}{c} \sf 1 \\\sf 1 \\\sf 1 \end{array} = \alpha \begin{array}{c} \sf 1 \\\sf 1 \\\sf 1\end{array}$ , then α = 30
(3) sum of diagonal entries of X is 18.
(4) X-30 I is an invertible matrix.​

Answer 1

Answer:

firstly go through the attachment. now answer that which of the following options is/are correct.

(1) X is a symmetric matrix.

(2) if \begin{gathered}\sf x \begin{array}{c} \sf 1 \\\sf 1 \\\sf 1 \end{array} = \alpha \begin{array}{c} \sf 1 \\\sf 1 \\\sf 1\end{array}\end{gathered}

x

1

1

1

=α

1

1

1

, then α = 30

(3) sum of diagonal entries of X is 18.

(4) X-30 I is an invertible matrix.