Write the differential equation obtained by eliminating the arbitrary constant C in the equation representing the family of curves xy = C cos x.
If A is a square matrix and | A | = 2, then write the value of | AA’ |, where A’ is the transpose of matrix A.
If A is a square matrix such that A² = A, then write the value of 7A – (I + A)³, where I is an identity matrix.
Write a unit vector in the direction of vector where and are the points (1, 3, 0) and (4, 5, 6),respectively,