Matrices, vectors, binomial

Question 1 of 10

Find the product of (1 2; 3 4) and (2; 1).

Question 2 of 10

Find the 4th term of the expansion of (1 + x)⁵ in ascending powers of x.

Question 3 of 10

Find the value of k for which the vectors 2i + kj and 3i − 6j are perpendicular.

Question 4 of 10

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

Question 5 of 10

If p = 2i + 3j and q = i − j, find |p + q|.

Question 6 of 10

If A = [[2, 1], [3, 4]], find A⁻¹.

Question 7 of 10

The magnitude of the vector 3i + 4j is

Question 8 of 10

The angle between a = i + j and b = i − j is

Question 9 of 10

Find the determinant of [[3, 2], [1, 4]].

Question 10 of 10

Find the inverse of the matrix [[2, 1], [5, 3]].