How many algebraic operations are necessary to solve the lin

How many algebraic operations are necessary to solve the linear equation system R_x = b, where it\'s an upper triangular matrix whose elements are not 0 multiply a matrix by a vector PLEASE ANSWER WITH STEPS H) How many algebraic operations (+, -, *,/) are necessary to solve the linear equation system R_x = b, where R R^n times n is an upper triangular matrix whose elements are not 0? to multiply a matrix A R^n times n by a vector x R^n?

Solution

Rx=b   ,R is an upper trangular matrix with non zero entry

which implies R is invertible

And solution of Rx=b is unique

x=R^-1.b

we can see that . is used here which product of matrix

and to calculate R^-1 we will have to use . and +   (matrix inverse calculation )

So to solve this system of linear equation required algebric operations are . and +