Are the vectors [−24],[7−2][−24],[7−2] and [3−6][3−6] linearly independent? Yes No

Let V be the vector space over R consisting of all polynomials in the variable x withreal coefficients. Determine whether the polynomialsf (x) = x2 + 3, g(x) = −x2 + x + 2, h(x) = x2 − 2x − 7are linearly independent

rove that the set of vectors (1, 2), (3, 4) is linearly independent and spanning in R2

Let and be any three non-zero vectors. Then, is independent ofx

Find the Eigen values and corresponding linearly independent Eigen vectors.1.4 6 61 3 21 4 3       

​det(A)=1×(93−(−7)(−6))−(−3)×(−33−(−7)(2))+2×(−36−92)−5×(−3×(−6)−9×2)+0