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.
A man invests Rs. 5000 at 5% per annum simple interest. What is the total amount after 3 years?
View QuestionWhat is the greatest common divisor (GCD) of 36 and 48?
View QuestionA train 120 meters long is moving at a speed of 54 km/h. How long will it take to pass a pole?
View QuestionIf a + b = 10 and ab = 21, what is the value of a^2 + b^2?
View QuestionA sum triples in 20 years at simple interest. What is the rate of interest per annum?
View QuestionThe sides of a triangle are 13 cm, 14 cm, and 15 cm. What is its area?
View QuestionIf the radius of a circle is 7 cm, what is its circumference?
View QuestionThe ratio of two numbers is 3:5, and their sum is 64. What are the numbers?
View QuestionA sum of money triples itself in 12 years at simple interest. What is the rate of interest per annum?
View QuestionHow many ways can 4 people sit in a row?
View Question