Top answers

How do I express complex numbers in the form reiθ?

How do I express complex numbers in the form re iθ ? Complex numbers have a general form of a+ib, i being imaginary. To answer this it is best shown on an argand diagram. Plot your complex number, then the a...
KL
49934 Views

How do I find the inverse of a 3x3 matrix?

We start by finding the determinant of this matrix using the cofactor method (I.e for each entry in the matrix, cross out the row and column in which it resides and find the determinant of the matrix formed,...
RR
4909 Views

Integrate f(x) = 1/(1-x^2)

1/(1-x 2 ) can be split into the partial fractions A/(1+x) + B/(1-x), where A and B are real constants, which when evaluated by multiplying the equation 1/(1-x 2 ) = A/(1+x) + B/(1-x) through by (1-x 2 ) = (...
ML
3308 Views

Does the following matrix A = (2 2 // 3 9) (upper row then lower row) have an inverse? If the matrix A^2 is applied as a transformation to a triangle T, by what factor will the area of the triangle change under the transformation?

The answer to the first part is that the matrix does have an inverse. This is found by finding the determinant of the matrix from the formula a d - b c (for some matrix ( a b // c d ) ) to get the answer 2 9...
CO
3359 Views

Split x^4/[(x^2+4)*(x-2)^2] into partial fractions and hence differentiate it

The answer to this question will be explained during the interview session
AS
2978 Views