Consider the system of equations [k]{q} = {F} where 2 -1 -1 -1 = 2 -1...

 

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Consider the system of equations [k]{q} = {F} where 2 -1 -1 -1 = 2 -1 {F} -1 -1 3 2 - 3 6 a) Use the MATLAB command [L,U]=lu(k) to determine the lower and upper triangular factors of [k], where k-LU b) Use forward reduction to solve the equation [L] {F} = {F} c) Use backward substitution to find q using [U]{q} = {F} d) Solve for q using the inverse of k, that is, q=kF e) Verify if your results for q from (c) and (d) are the same. Consider the system of equations [k]{q} = {F} where 2 -1 -1 -1 = 2 -1 {F} -1 -1 3 2 - 3 6 a) Use the MATLAB command [L,U]=lu(k) to determine the lower and upper triangular factors of [k], where k-LU b) Use forward reduction to solve the equation [L] {F} = {F} c) Use backward substitution to find q using [U]{q} = {F} d) Solve for q using the inverse of k, that is, q=kF e) Verify if your results for q from (c) and (d) are the same.