Question Let be defined by then, 1. Show that T is a linear transformation 2. What are the conditions on a, b, c such that (a, b, c) is in

Question A gasoline car dealer is stopping operations in a city as part of reallocation of company resources to electric cars. It has eight identical sedan cars left in its

Question A computer program is randomly fed three-digit numbers between 000 and 999 and executes the command immediately after it has been fed 4 three-digit numbers with same sum of

Question In National Games Championship, a high jump competition is being conducted along with other athletic events. Only n out of m athletes were able to meet the eligibility criteria

Question Let be a given matrix with . If the time taken to compute the determinant of a square matrix of size j is , find upper bound on the

Question Let γ be the real root of a polynomial equation of degree 9 with integer coefficients. Construct the matrix With this information, is it possible to i)

Question Find the minimum distance from (4,2) to the parabola Solution Conceptually, this can be done by: 1) Considering the curve and finding the tangent. 2) Find normal to that

Question Prove that if A is a square matrix of size , then as if and only if Solution Norm is a value that indicates the magnitude of a matrix.

Question Given the following matrix where c and r are arbitrary real numbers and 5.5 < r ≤ 6.5, and the fact that = 3 is one of

Question Let be a non-singular matrix. If column is replaced by a and that the resulting matrix is called along with , then state the necessary and sufficient condition for