1

answer

0

watching

51

views

11 Nov 2019

# 3. (a) Let us consider the following matrix: 1 01 1 2 0 0 0 0 0 1 1 0 1-1 5 Give the definition of rank of a matrix. Compute the rank of A and find all solutions of the equation Ax - 0. Write the solution in vector notation (b) Is the matrix invertible? Justify your answer by using the results obtained in (c) Explain what it means to say that a functionãR" â R" is linear and give (d) Let us consider the linear function whose associated matrix is A in (3a). Is T (e) Let (3a) the definition of kernel of T injective? Justify your answer by using the results in (3a) and (3c) 2 -2 Find a 2 Ã 2 matrix X for which the following matrix equation is satisfied: TD-1

3. (a) Let us consider the following matrix: 1 01 1 2 0 0 0 0 0 1 1 0 1-1 5 Give the definition of rank of a matrix. Compute the rank of A and find all solutions of the equation Ax - 0. Write the solution in vector notation (b) Is the matrix invertible? Justify your answer by using the results obtained in (c) Explain what it means to say that a functionãR" â R" is linear and give (d) Let us consider the linear function whose associated matrix is A in (3a). Is T (e) Let (3a) the definition of kernel of T injective? Justify your answer by using the results in (3a) and (3c) 2 -2 Find a 2 Ã 2 matrix X for which the following matrix equation is satisfied: TD-1

Hubert KochLv2

29 Oct 2019