10 marks Question 2 The banded, upper triangular matrix A E RnXn can be written as 1 C a2 b2 c2 a3 b3 C3 an -2 bn-2 Cn-2 an-1 0n-1 an where a= (ai, a2 , , an-2, an-1,an) E R", e= (q, c2, . . . ,G1-2) E Rn-2. The entries of a, b, and are all assumed to be nonzero (a) Write a pseudocode for computing the matrix-vector product of A with a vector a. That is, given vectors a, b, and that define A as in definition (1), and given a vector x E Rn, your algorithm should compute the matrix-vector product y= Aa. Your pseudocode should have the following form Input: vector e R" and vectors ER",ER"-1 and ce R"-2. Insert pseudocode here Output: vector y E Rn such that j-At 10 marks Question 2 The banded, upper triangular matrix A E RnXn can be written as 1 C a2 b2 c2 a3 b3 C3 an -2 bn-2 Cn-2 an-1 0n-1 an where a= (ai, a2 , , an-2, an-1,an) E R", e= (q, c2, . . . ,G1-2) E Rn-2. The entries of a, b, and are all assumed to be nonzero (a) Write a pseudocode for computing the matrix-vector product of A with a vector a. That is, given vectors a, b, and that define A as in definition (1), and given a vector x E Rn, your algorithm should compute the matrix-vector product y= Aa. Your pseudocode should have the following form Input: vector e R" and vectors ER",ER"-1 and ce R"-2. Insert pseudocode here Output: vector y E Rn such that j-At