Class 12th math notes
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Q8/10: If A and B are two skew-symmetric matrices of same order, then AB is a symmetric matrix if:
Q6/10: Let A be a non-singular square matrix of order 3x3. Then |adj A| is equal to:
Q5/10: Assertion (A): If A is a symmetric matrix, then A^3 is also symmetric. Reason (R): (A^n)^T = (A^T)^n for any square matrix A and integer n>0.
Q3/10: The minor of the element 6 in the determinant |[1, 2, 3], [4, 5, 6], [7, 8, 9]| is:
Q1/10: If A is a 3x3 matrix such that |A| = 5, what is the value of |adj(adj A)|?
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Q10/10: The value of the determinant |[1, a, b+c], [1, b, c+a], [1, c, a+b]| is:
Q9/10: Matrix A has x rows and x+5 columns. Matrix B has y rows and 11-y columns. Both AB and BA exist. Find x and y.
Q8/10: If A is a square matrix such that A^2 = I, then (A - I)^3 + (A + I)^3 - 7A is equal to:
Q7/10: If the points (2, -3), (k, -1) and (0, 4) are collinear, what is the value of k?
Q6/10: If A and B are symmetric matrices of the same order, then AB - BA is a:
Q5/10: If A is a square matrix of order 3 and |A| = 4, what is the value of |2A|?
Q4/10: What is the value of the determinant of an identity matrix of order 3?
Q2/10: If A = [a_ij] is a square matrix of order 2 such that a_ij = i + j, what is the matrix A?
Q1/10: If a matrix has 12 elements, what are the possible orders it can have?
