Subject: Mathematics
Book: Maths Mastery
Matrix multiplication is defined by taking the dot product of rows of the first matrix with columns of the second. For a 2×2 example, if A=[[a,b],[c,d]] and B=[[e,f],[g,h]], then A×B=[[ae+bg, af+bh],[ce+dg, cf+dh]]. The process generalizes to larger dimensions where inner dimensions must match. Matrix multiplication underlies transformations in 2D/3D graphics, network flows, Markov chains, or advanced linear systems. Gaining fluency is a key step in linear algebra, enabling big leaps in data analysis and computational problem-solving.
A square is inscribed in a circle with a radius of 5 cm. What is the area of the square?
View QuestionIf sin(x) = 3/5 and x is in the first quadrant, what is cos(x)?
View QuestionIf the sides of a triangle are 6 cm, 8 cm, and 10 cm, what is the area of the triangle?
View QuestionWhat is the sum of the first 50 positive integers?
View QuestionIf a:b = 5:7 and b:c = 6:11, what is a:c?
View QuestionA rectangle has an area of 48 cm² and a length of 8 cm. What is its width?
View QuestionIf x - y = 5 and x + y = 15, what is the value of x?
View QuestionA cone has a base radius of 7 cm and height of 24 cm. What is its volume?
View QuestionIf the ratio of two numbers is 3:5 and their HCF is 4, what are the numbers?
View QuestionThe angles of a quadrilateral are in the ratio 3:4:5:6. What is the largest angle?
View Question