## Question

###### (a) Show that the set B =4H form basis for R?The matnx P;the "change of coordinatcs matrix" . and it satisfics:"-[; for any vector in R' whcn is thc coordinale Vcctor of relalive t0 the basts B.(b} C onsider the vecior {=-h 4h: (that is [1.-[4 Find the coordinate vector x rclative t0 the standard basis.(c) Find the inverse matrix P; t0 determine the coordinate !ector [F1 of the !ectorDraw sketch t0 illustrate the vcctor15 4 lincar combination ofJnd

(a) Show that the set B = 4H form basis for R? The matnx P; the "change of coordinatcs matrix" . and it satisfics: "-[; for any vector in R' whcn is thc coordinale Vcctor of relalive t0 the basts B. (b} C onsider the vecior {=-h 4h: (that is [1.-[4 Find the coordinate vector x rclative t0 the standard basis. (c) Find the inverse matrix P; t0 determine the coordinate !ector [F1 of the !ector Draw sketch t0 illustrate the vcctor 15 4 lincar combination of Jnd

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