MEDIUM
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Which method of preparing a cash flow statement starts with the net income?

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Important Questions on Continuity and Differentiability

MEDIUM
Let A be any 3×3 invertible matrix. Then which one of the following is not always true?
EASY
Let A, B, C be three 4×4 matrices such that detA=5,detB=-3, and detC=12. Then the det2AB-1C3BT is
HARD

Using elementary row transformations, find the inverse of the matrix A=123257-2-4-5.

HARD

If A=2-3532-411-2, find A-1. Use it to solve the system of equations

2 x-3 y+5 z=11

3 x+2 y-4 z=-5

x+y-2 z=-3

HARD

Find the inverse of the matrix using elementary operations. 

A=12-2-1300-21.

MEDIUM
If A and B are two non-zero square matrices of the same order then AB=O Implies both A and B must be singular.
MEDIUM
Let fx=logesinx, 0<x<π and gx=sin-1(e-x), (x0). If α is a positive real number such that a=fog'(α) and b=fog(α), then
HARD
Let A be a non-singular square matrix of order 3×3. Then adjA is equal to:
EASY
Find the order and the degree of the differential equation: x2d2ydx2=1+dydx24.
EASY
If B=52α1021α3-1 is the inverse of a 3×3 matix A, then the sum of all values of α for which  detA+1=0, is:
EASY
The order and the degree of the differential equation d3ydx316-dydx13=0 are respectively
MEDIUM
Differentiate tan-11+cosxsinx with respect to x.[Write your answer as decimal only]
MEDIUM
If P=1α3133244 is the adjoint of a 3×3 matrix A and A=4, then α is equal to