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Recent questions tagged p83

$\begin{vmatrix}0 & xyz & x-z\\y-x & 0 & y-z\\z-x & z-y & 0\end{vmatrix}$ =

asked Dec 28, 2012 by sreemathi.v

1 answer

if $x=-9$ is a root of $\begin{vmatrix}x & 3 & 7\\2 & x & 2\\7 & 6 & x\end{vmatrix}=0$, then other roots are

asked Dec 28, 2012 by sreemathi.v

1 answer

The sum of the products of elements of any row with the co-factors of corresponding elements is equal to ________________.

asked Dec 28, 2012 by sreemathi.v

1 answer

If A is a matrix of order $3\times 3$,then number of minors in determinant of A are____________.

asked Dec 28, 2012 by sreemathi.v

1 answer

If A is a matrix of order $3\times 3$,then $(A^2)^{-1}$=_____________.

asked Dec 28, 2012 by sreemathi.v

1 answer

If $\cos 2\theta=0$, then ${\begin{vmatrix}0 & \cos\theta & \sin\theta\\\cos\theta & \sin\theta & 0\\\sin\theta & 0 & \cos\theta\end{vmatrix}}^2$ =

asked Dec 28, 2012 by sreemathi.v

1 answer

If $x,y, z\in R,$ then the value of determinant $\small\begin{vmatrix}(2^x + 2^{-x})^2 & (2^x - 2^{-x})^2 & 1\\ (3^x + 3^{-x})^2 & (3^x - 3^{-x})^2 & 1\\(4^x + 4^{-x})^2 & (4^x - 4^{-x})^2 & 1\end{vmatrix}$ is

asked Dec 27, 2012 by sreemathi.v

1 answer

If A is invertible matrix of order $3\times 3$,then $| A^{-1} |$___________.

asked Dec 27, 2012 by sreemathi.v

1 answer

If A is a matrix of order $3\times 3$,then | 3A |=_______________.

asked Dec 27, 2012 by sreemathi.v

1 answer

There are two values of $a$ which makes the determinant $\Delta=\begin{vmatrix}1 & -2 & 5\\2 & a & 1\\0 & 4 & 2a\end{vmatrix}= 86,$ then sum of these number is

asked Dec 27, 2012 by sreemathi.v

1 answer

The bookshop of a particular school has 10 dozen chemistry books, 8 dozen physics books, 10 dozen economics books. Their selling prices are Rs 80, Rs 60 and Rs 40 each respectively. Find the total amount the bookshop will receive from selling all the books using matrix algebra.

asked Nov 25, 2012 by pady_1

1 answer

Assume $X, Y, Z, W$ and $P$ are matrices of order $2\times n, 3\times k, 2\times p, n\times 3$ and $p\times k$, respectively. The restriction on $n, p, k$ so that $PY + WY$ will be defined are:

asked Nov 25, 2012 by pady_1

1 answer

Assume $X, Y, Z, W$ and $P$ are matrices of order $2\times n$, $3\times k$, $2\times p$, $n\times 3$ and $p\times k$, respectively. If $n = p$ then the order of the matrix $7X - 5Z$ is:

asked Nov 25, 2012 by pady_1

1 answer

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