Recent questions tagged easy

Examine the continuity of the function $f(x)=x^3+2x^2-1$ at $x=1$

asked Dec 31, 2012 by sreemathi.v

1 answer

Using elementary transformation, find the inverse of $\begin{bmatrix} 1 & 3 & -2 \\ -3 & 0 & -5 \\ 2 & 5 & 0 \end{bmatrix} $

asked Dec 29, 2012 by thanvigandhi_1

1 answer

True or False: $\mid adj A\mid={\mid A\mid}^2$,where A is a square matrix of order two.

asked Dec 28, 2012 by sreemathi.v

1 answer

True or False: $\begin{vmatrix}x+1 & x+2 & x+a\\x+2 & x+3 & x+b\\x+3 & x+4 & x+c\end{vmatrix}=0,$where a,b,c are in A.P.

asked Dec 28, 2012 by sreemathi.v

1 answer

True or False: If the value of a third order determinant is 12,then the value of the determinant formed by replacing each element by its co-factor will be 144.

asked Dec 28, 2012 by sreemathi.v

1 answer

True or False: If A and B are matrices of order 3 and $\mid A\mid=5,\mid B \mid=3,then\mid 3AB\mid=27\times 5\times 3=405$

asked Dec 28, 2012 by sreemathi.v

1 answer

True or False: $|\;A^{-1}\;|\neq |\;A\;|^{-1}$,where A is non-singular matrix.

asked Dec 28, 2012 by sreemathi.v

1 answer

True or False: $(A^3)^{-1}=(A^{-1})^3$,where A is a square matrix and $|\;A\;|\neq 0$

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 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

If A and B are invertible matrices,then which of the following is not correct?\[\begin{array}{1 1}(A)\quad adjA=|A|.A^{-1} & (B)\quad det(A)^{-1}=[det(A)]^{-1}\\(C)\quad (AB)^{-1}=B^{-1}A^{-1} & (D)\quad (A+B)^{-1}=B^{-1}+A^{-1}\end{array}\]

asked Dec 27, 2012 by sreemathi.v

1 answer

If $A=\begin{vmatrix}2 & \lambda & 3\\0 & 2 & 5\\1 & 1 & 3\end{vmatrix},$ then$\;A^{-1}\;$exists if $\lambda = ?$

asked Dec 27, 2012 by sreemathi.v

1 answer

If $f(x)=\begin{vmatrix}0 & x-a & x-b\\x-a & 0 & x-c\\x-b & x-c & 0\end{vmatrix},then$\[\begin{array}{1 1}(A)\quad f(a)=0 & (B)\quad f(b)=0\\(C)\quad f(0)=0 & (D)\quad f(1)=0\end{array}\]

asked Dec 27, 2012 by sreemathi.v

1 answer

The maximum value of $\begin{vmatrix}1 & 1 & 1\\1 & 1-sin\theta & 1\\1-\cos\theta & 1 & 1\end{vmatrix}\;(is\;\theta\; is\; real\;number)$

asked Dec 27, 2012 by sreemathi.v

1 answer

The area of a triangle with vertices(-3,0),(3,0) and (0,k) is 9 sq. units.The value of k will be\[ \begin{array}{1 1}(A)\quad 9 & (B)\quad 3\\(C)\quad-9 & (D)\quad 6\end{array}\]

asked Dec 26, 2012 by sreemathi.v

1 answer

If $\begin{vmatrix}2x & 5\\8 & x\end{vmatrix}=\begin{vmatrix}6 & -2\\7 & 3\end{vmatrix}$,then value of x is \[\begin{array}{1 1}(A)\quad3 & (B)\quad\pm 3\\(C)\quad \pm 6 & (D)\quad 6\end{array}\]

asked Dec 26, 2012 by sreemathi.v

1 answer

Find x, if $ \begin{bmatrix} 5 & 3x \\ 2y & z \end{bmatrix} $ = $ \begin{bmatrix} 5 & 4 \\ 12 & 6 \end{bmatrix}^T $

asked Dec 26, 2012 by thanvigandhi_1

1 answer