The number of Hawkins-Simon conditions for the viability of an input - output analysis is ________.

(a)

1

(b)

3

(c)

4

(d)

2

The inventor of input-output analysis is ________.

(a)

Sir Francis Galton

(b)

Fisher

(c)

Prof. Wassily W. Leontief

(d)

Arthur Caylay

Which of the following matrix has no inverse.

(a)

\(\begin{pmatrix} -1 & 1 \\ 1 &-4 \end{pmatrix}\)

(b)

\(\begin{pmatrix} 2 & -1 \\ -4 &2 \end{pmatrix}\)

(c)

\(\begin{pmatrix} cos\ a & sin\ a \\ -sin\ a & cos\ a \end{pmatrix}\)

(d)

\(\begin{pmatrix} sin\ a & cos\ a \\ -cos\ a & sin\ a \end{pmatrix}\)

The inverse matrix of \(\begin{pmatrix} 3 & 1 \\ 5 & 2\end{pmatrix}\) is ________.

(a)

\(\begin{pmatrix} 2 & -1 \\-5 & 3 \end{pmatrix}\)

(b)

\(\begin{pmatrix} -2 & 5 \\1 & -3 \end{pmatrix}\)

(c)

\(\begin{pmatrix} 3 & -1 \\-5 & -3 \end{pmatrix}\)

(d)

\(\begin{pmatrix} -3 & 5 \\1 & -2 \end{pmatrix}\)

If A \(=\begin{pmatrix} -1 & 2 \\ 1 & -4 \end{pmatrix}\) then A (adj A) is ________.

(a)

\(\begin{pmatrix} -4 & -2 \\ -1 & -1 \end{pmatrix}\)

(b)

\(\begin{pmatrix} 4 & -2 \\ -1 & 1 \end{pmatrix}\)

(c)

\(\begin{pmatrix} 2 & 0 \\ 0 & 2 \end{pmatrix}\)

(d)

\(\begin{pmatrix} 0 & 2 \\ 2 & 0 \end{pmatrix}\)