ECAT Pakistan · Mathematics
Algebra, Matrices and Trigonometry
8 practice questions, each with the answer and an explanation.
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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.
All 8 questions
- What is the determinant of the 3x3 matrix with rows [1, 2, 3], [0, 4, 5], [0, 0, 6]?
- What is the sum to infinity of the geometric series 8 + 4 + 2 + 1 + ...?
- What is the inverse of the 2x2 matrix A = [[3, 2], [1, 1]]?
- If sin(theta) + cos(theta) = 1, what is the value of sin(2*theta)?
- What is the general solution of the trigonometric equation cos(x) = 1/2?
- How many terms are in the algebraic expansion of (2x + 3y)^10?
- What is the value of the expression: arctan(1/2) + arctan(1/3)?
- For what value of k does the system of equations 2x + ky = 4 and 4x + 6y = 8 have infinitely many solutions?
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