List of top Mathematics Questions

Solve system of linear equations, using matrix method.
2x+y+z=1
x-2y-z=\(\frac{3}{2}\)
3y-5z=9

Find all points of discontinuity of f,where f is defined by 

Find all points of discontinuity of f,where f is defined by 

Find all points of discontinuity of f, where f is defined by 

Solve system of linear equations, using matrix method.
 5x+2y=3
 3x+2y=5

Solve system of linear equations, using matrix method.
4x-3y=3
3x-5y=7

Is the function f defined by

continuous at x=0? At x=1? At x=2?

Prove that the function f(x) = xⁿ, is continuous at x = n, where n is a positive integer.

Solve system of linear equations, using matrix method.
  2x-y=-2
  3x+4y=3

Solve system of linear equations, using matrix method.
 5x+2y=4,
 7x+3y=5

Examine the consistency of the system of equations.
 5x−y+4z=5,
 2x+3y+5z=2,
 5x−2y+6z=−1

Examine the consistency of the system of equations.
 3x-y−2z=2,
 2y−z=−1
 3x−5y=3

Examine the consistency of the system of equations.
x+3y=5,
2x+6y=8

If \(A = \begin{bmatrix}        \frac{2}{3} & 1 & \frac 53           \\[0.3em]        \frac{1}{3} & \frac 23           & \frac{4}{3} \\[0.3em]        \frac 73           & 2 & \frac{2}{3}      \end{bmatrix}\) and \(B = \begin{bmatrix}        \frac{2}{5} & \frac 35 & 1           \\[0.3em]        \frac{1}{5} & \frac 25           & \frac{4}{5} \\[0.3em]        \frac 75           & \frac 65 & \frac{2}{5}      \end{bmatrix}\) then compute 3A-5B.

Examine the consistency of the system of equations.
2x-y=5,
x+y=4

Examine the consistency of the system of equations. 
x+2y=2,
2x+3y=3

Let A be a nonsingular square matrix of order 3×3.Then IadjAI is equal to

For the matrix A=\(\begin{bmatrix}3&2\\1&1\end{bmatrix}\),find the numbers a and b such that A²+ aA+bI=O. 

Solve: \(sin(tan^{-1}x)=|x|<1\) is equal to

Solve \(tan^{-1}\frac {1-x}{1+x} = \frac {1}{2}\ tan^{-1}x,(x>0)\)

Prove: \(\frac {9\pi}{4} - \frac 94 sin^{-1}\frac 13 = \frac 94sin^{-1}\frac {2\sqrt 2}{3}\)

Prove: \(tan^{-1}\frac 15+tan^{-1}\frac 17+tan^{-1}\frac 13+tan^{-1}\frac 18=\frac {\pi}{4}\)

Prove: \(tan^{-1} \frac {63}{16} = sin^{-1} \frac {5}{13} + cos^{-1}\frac 35\)

Prove: \(cos^{-1} \frac45 + cos^{-1} \frac {12}{13} = cos^{-1} \frac {33}{65} \)

Find the inverse of each of the matrices(if it exists). \(\begin{bmatrix}1&0&0\\0& \cos\alpha& \sin\alpha\\0&\sin\alpha&-\cos\alpha\end{bmatrix}\)