Matrices and Determinants
Matrices, algebra of matrices, types of matrices; determinants and matrices of order two and three; properties of determinants; evaluation of determinants; area of triangle using determinants; adjoint and inverse of a matrix; test of consistency and solution of simultaneous linear equations using determinants and matrices.
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Take a full mock →Q1 · Matrices and Determinants · EASY
If A is a 3×3 matrix with |A| = 5, then what is the value of |2A|?
Q2 · Matrices and Determinants · MEDIUM
The system of equations x + 2y + 3z = 1, 2x + 3y + 4z = 3, 3x + 4y + 5z = k has infinitely many solutions. What is the value of k?
Q3 · Matrices and Determinants · MEDIUM
If A = [[2, 3], [1, 2]] and A² - kA + I = O (where I is the 2×2 identity matrix and O is the 2×2 null matrix), then the value of k is: