Evaluate |2 4; -1 2|.

Question

TextDeterminant of a Matrix of Order Two

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Let f(x) = |x² sin x; p -1|, where p is a constant. The value of p for which f'(0) = 1 is :

If |A| = |kA|, where A is a square matrix of order 2, then sum of all possible values of k is

Properties of Determinants

For which value of x, are the determinants |2x −3; 5 x| and |10 1; −3 2| equal ?

if |3x, 7; -2, 4| = |8, 7; 6, 4|, find the value of x.

For the matrix A = [[3, 1],[2, 1]], find the numbers a and b so that A² + aA + bI = O.

One of the values of x for which |cos x sin x; -cos x sin x| = 1 is