Homework SourseThe dot product of two vectors in R3 is defined by a1 a2 a3
The dot product of two vectors in R^3 is defined by [a-1 a_2 a_3], [b_1 b_2 b_3] = a_1 b_1 + a_2 b_2 + a_3 b_3. Let upsilon = [-1 4 -8] Find the matrix A of the linear transformation from R^3 to R given by T(x) = upsilon middot x. A = [].![The dot product of two vectors in R^3 is defined by [a-1 a_2 a_3], [b_1 b_2 b_3] = a_1 b_1 + a_2 b_2 + a_3 b_3. Let upsilon = [-1 4 -8] Find the matrix A of th](/WebImages/43/the-dot-product-of-two-vectors-in-r3-is-defined-by-a1-a2-a3-1136070-1761608109-0.webp "The dot product of two vectors in R^3 is defined by [a-1 a_2 a_3], [b_1 b_2 b_3] = a_1 b_1 + a_2 b_2 + a_3 b_3. Let upsilon = [-1 4 -8] Find the matrix A of th")
Solution
In T(x)=v*x, v acts as A
x is from R^3 means in matrix form it will be a 3x1 matrix. so v or A must be a 1x3 matrix
Hence It will be just
A = [-1 4 -8]
