List of top Mathematics Questions

Find adjoint of each of the matrices \(\begin{bmatrix}1&-1&2\\2&3&5\\-2&0&1\end{bmatrix}\)

Discuss the continuity of the function f, where f is defined by

Is the function defined by

a continuous function?         

If A=\(\begin{bmatrix}2&3&5\\3&2&-4\\1&1&-2\end{bmatrix}\),find A^-1.UsingA^-1 solve the system of equations
2x-3y+5z=11
3x+2y-4z=-5
x+y-2z=-3

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.
 2x+3y+3z=5
 x-2y+z=-4
 3x-y-2z=3

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

Solve system of linear equations, using matrix method.
x-y+z=4
2x+y-3z=0 
x+y+z=2

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

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