Subject: Mathematics
Book: Maths Mastery
A determinant signals properties like invertibility, with 2×2 determinant = ad – bc for matrix [[a, b], [c, d]]. For a 3×3 matrix, the Sarrus rule or expansion by minors is used. Example: For [[1, 2, 3], [4, 5, 6], [7, 8, 9]], applying Sarrus reveals a 0 determinant, meaning the matrix is not invertible. Determinants appear in geometry (volumes, areas), system solvability checks, and transformations. Understanding how to compute them quickly is key for advanced linear algebra, physics, and engineering tasks that rely on matrix operations.
What is the sum of the first 10 positive even numbers?
View QuestionIf the product of two numbers is 120 and their sum is 26, what are the numbers?
View QuestionIf sin(A) = 3/5 and cos(B) = 5/13, where A and B are acute angles, what is sin(A+B)?
View QuestionIf a cone has a base radius of 3 cm and height of 4 cm, what is its slant height?
View QuestionWhat is the sum of all even numbers between 1 and 100?
View QuestionA car travels 240 km in 4 hours. What is its average speed?
View QuestionIf the sum of three consecutive integers is 72, what are the integers?
View QuestionA man invests Rs. 5000 at 5% per annum simple interest. What is the total amount after 3 years?
View QuestionWhat is the 7th term of the arithmetic progression 3, 6, 9, 12,...?
View QuestionWhat is the HCF of 48 and 180?
View Question