Solve system of linear equations, using matrix method.2x+y+z=1x-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
Solve system of linear equations, using matrix method. 5x+2y=3 3x+2y=5
Solve system of linear equations, using matrix method.4x-3y=33x-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+y+z=12x+3y+2z=2,ax+ay+2az=4
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: \(2\ tan^{-1}(cos\ x)=tan^{-1}(2\ cosec\ x)\)
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: \(tan^{-1} \frac {63}{16} = sin^{-1} \frac {5}{13} + cos^{-1}\frac 35\)