If A and B are two matrices of order 3 × m and 3 × n respectively and m = n, then the order of 5A − 2B is
[3] Matrices
Chapter: [3] Matrices
Concept: undefined >> undefined
If A and B are matrices of the same order, then ABT − BAT is a
[3] Matrices
Chapter: [3] Matrices
Concept: undefined >> undefined
The matrix \[A = \begin{bmatrix}0 & - 5 & 8 \\ 5 & 0 & 12 \\ - 8 & - 12 & 0\end{bmatrix}\] is a
[3] Matrices
Chapter: [3] Matrices
Concept: undefined >> undefined
The matrix \[A = \begin{bmatrix}1 & 0 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 4\end{bmatrix}\] is
[3] Matrices
Chapter: [3] Matrices
Concept: undefined >> undefined
Find the differential equation of all the circles which pass through the origin and whose centres lie on y-axis.
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Find the differential equation of all the circles which pass through the origin and whose centres lie on x-axis.
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Form the differential equation having \[y = \left( \sin^{- 1} x \right)^2 + A \cos^{- 1} x + B\], where A and B are arbitrary constants, as its general solution.
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\int e^{ax} \cos\ bx\ dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int e^{ax} \text{ sin} \left( bx + C \right) dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\text{ cos }\left( \text{ log x } \right) \text{ dx }\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int e^{2x} \cos \left( 3x + 4 \right) \text{ dx }\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int e^{2x} \sin x\ dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int e^x \sin^2 x\ dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\frac{1}{x^3}\text{ sin } \left( \text{ log x }\right) dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int e^{2x} \cos^2 x\ dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int e^{- 2x} \sin x\ dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int x^2 e^{x^3} \cos x^3 dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\frac{2x}{x^3 - 1} dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\frac{1}{\left( x^2 - 1 \right) \sqrt{x^2 + 1}} \text{ dx }\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
The equation of the curve satisfying the differential equation y (x + y3) dx = x (y3 − x) dy and passing through the point (1, 1) is
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
