Answer to Question #64382 in Linear Algebra for sajid

Question

Q. A vector A in OX1X2X3 has components (2, 1, -2). Find its components in OX1’X2’X3’. The transformation between the coordinates X1, X2, X3 and X1’ , X2’ , X3’ is defined by
X1’=1/3 (2x1+2x2-x3)
X2’=1/3 (2x1-x2+2x3)
X3’=1/3(-x1+2x2+2x3)