Loading...
If [x+y 2; 5 xy] = [6 2; 5 8], then the value of (24/x + 24/y) is :
If A = [1 –2 0; 2 –1 –1; 0 –2 1], find A⁻¹ and use it to solve the following system of equations : x – 2y = 10, 2x – y – z = 8, – 2y + z = 7
If A = [–1 a 2; 1 2 x; 3 1 1] and A⁻¹ = [1 –1 1; –8 7 –5; b y 3], find the value of (a + x) – (b + y).
Solve the following system of equations, using matrices : 2/x + 3/y + 10/z = 4, 4/x – 6/y + 5/z = 1, 6/x + 9/y – 20/z = 2 where x, y, z ≠ 0
If A = [1 cot x; –cot x 1], show that A′A⁻¹ = [–cos 2x –sin 2x; sin 2x –cos 2x].
A scholarship is a sum of money provided to a student to help him or her pay for education. Some students are granted scholarships based on their academic achievements, while others are rewarded based on their financial needs. Every year a school offers scholarships to girl children and meritorious achievers based on certain criteria. In the session 2022 – 23, the school offered monthly scholarship of ₹ 3,000 each to some girl students and ₹ 4,000 each to meritorious achievers in academics as well as sports. In all, 50 students were given the scholarships and monthly expenditure incurred by the school on scholarships was ₹ 1,80,000. Based on the above information, answer the following questions :
© 2026 PadhAiPro. This question is provided for educational purposes.