Boost your skills in A Level Further Mathematics Core Pure. Study with flashcards and multiple choice questions, each question is followed by hints and explanations. Get prepared for your exam with confidence!

Multiple Choice

Compute the determinant of the matrix [ [1,0,0], [2,1,0], [3,4,1] ].

For a triangular matrix, the determinant is simply the product of the diagonal entries. This matrix has zeros above the main diagonal, so it’s lower triangular. The diagonal entries are 1, 1, and 1, and their product is 1. So the determinant is 1.

For a triangular matrix, the determinant is simply the product of the diagonal entries. This matrix has zeros above the main diagonal, so it’s lower triangular. The diagonal entries are 1, 1, and 1, and their product is 1. So the determinant is 1.