Matrices, vectors, binomial

Question 1 of 10

Find the coefficient of x² in the expansion of (1 + 2x)⁵.

Question 2 of 10

The magnitude of the vector 3i + 4j is

Question 3 of 10

The determinant of [[3, 2], [5, 4]] is

Question 4 of 10

If a = 2i − j and b = i + 3j, find a · b.

Question 5 of 10

If |a| = 3, |b| = 4 and the angle between them is 60°, find a · b.

Question 6 of 10

For which value of k is the matrix (2 k; 4 6) singular?

Question 7 of 10

If a = 3i + 4j, |a| is

Question 8 of 10

The coefficient of x² in the expansion of (1 + x)⁵ is

Question 9 of 10

Evaluate ⁶C₂.

Question 10 of 10

If A = [[2, 1], [3, 4]], find A⁻¹.