Class 12th math notes
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Q3/10: If A = [alpha, beta; gamma, -alpha] is such that A^2 = I, then:
Q2/10: Let A be a 2x2 matrix such that |A| = -3. Find the value of |-2A|.
Q1/10: If A and B are square matrices of the same order, which of the following is strictly true?
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Q10/10: The maximum value of the determinant |[1, 1, 1], [1, 1+sin(x), 1], [1, 1, 1+cos(x)]| is:
Q7/10: The area of a triangle with vertices (1, 0), (6, 0), (4, 3) is:
Q6/10: If the determinant of a 2x2 matrix A is 5, what is the determinant of its adjoint?
Q5/10: If A is a 3x3 matrix such that A^2 - 5A + 7I = 0, then A^-1 is equal to:
Q4/10: Every diagonal element of a skew-symmetric matrix is:
Q3/10: If A = [cos x, -sin x; sin x, cos x], then A + A^T = I for what value of x?
Q2/10: Assertion (A): The value of the determinant |[2, 3], [4, 6]| is 0. Reason (R): If any two rows of a determinant are proportional, its value is zero.
Q1/10: A system of linear equations AX = B has a unique solution if:
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Next quiz Thursday at 19:00
Q10/10: If x, y, z are all different and the determinant |[x, x^2, 1+x^3], [y, y^2, 1+y^3], [z, z^2, 1+z^3]| = 0, what is the value of xyz?
Q9/10: Which of the following is true for matrix multiplication?
