Search over 10,000 free study notes

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 form...

1/(1-x²) 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-x²) = A/(1+x) + B/(1-x) th...

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 ad - bc (for some matrix ( a b // c d ) ) to get the ...

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

Euler's Formula is: e^ix = cos(x) + isin(x)

This identity comes from the Maclaurin expansion of the exponential function. The resulting maclaurin series is a power series in x with odd te...