Homework SourseConsider the ordered basis B of R2 consisting of the vectors
Consider the ordered basis B of R^2 consisting of the vectors [-3 -6] and [5 -3] (in that order). Find the vector x vector in R^2 whose coordinates with respect to the basis B are [-3 2]. ![Consider the ordered basis B of R^2 consisting of the vectors [-3 -6] and [5 -3] (in that order). Find the vector x vector in R^2 whose coordinates with respec](/WebImages/39/consider-the-ordered-basis-b-of-r2-consisting-of-the-vectors-1118744-1761594837-0.webp "Consider the ordered basis B of R^2 consisting of the vectors [-3 -6] and [5 -3] (in that order). Find the vector x vector in R^2 whose coordinates with respec")
Solution
Since the coordinates of the vector x with respect to the given ordered basis are (-3,2), we have x = -3(-3,-6)T +2(5,-3)T= (9,18)T+ (10,-6)T= (19,12)T
