1.

Let \(\rm A = \left[ {\begin{array}{*{20}{c}} {\rm{a}}&{\rm{h}}&{\rm{g}}\\ {\rm{h}}&{\rm{b}}&{\rm{f}}\\ {\rm{g}}&{\rm{f}}&{\rm{c}} \end{array}} \right]\) and \({\rm{B}} = \left[ {\begin{array}{*{20}{c}} {\rm{x}}\\ {\rm{y}}\\ {\rm{z}} \end{array}} \right],\) then what is AB equal to?

A. \(\left[ {\begin{array}{*{20}{c}} {{\rm{ax}} + {\rm{hy}} + {\rm{gz}}}\\ {\rm{y}}\\ {\rm{z}} \end{array}} \right]\)
B. \(\left[ {\begin{array}{*{20}{c}} {{\rm{ax}} + {\rm{hy}} + {\rm{gz}}}\\ {{\rm{hx}} + {\rm{by}} + {\rm{fz}}}\\ {\rm{z}} \end{array}} \right]\)
C. \(\left[ {\begin{array}{*{20}{c}} {{\rm{ax}} + {\rm{hy}} + {\rm{gz}}}\\ {{\rm{hx}} + {\rm{by}} + {\rm{fz}}}\\ {{\rm{gx}} + {\rm{fy}} + {\rm{cz}}} \end{array}} \right]\)
D. \(\left[ {\begin{array}{*{20}{c}} {{\rm{ax}} + {\rm{hy}} + {\rm{gz}}}&{{\rm{hx}} + {\rm{by}} + {\rm{fz}}}&{{\rm{gx}} + {\rm{fy}} + {\rm{cz}}} \end{array}} \right]\)
Answer» D. \(\left[ {\begin{array}{*{20}{c}} {{\rm{ax}} + {\rm{hy}} + {\rm{gz}}}&{{\rm{hx}} + {\rm{by}} + {\rm{fz}}}&{{\rm{gx}} + {\rm{fy}} + {\rm{cz}}} \end{array}} \right]\)


Discussion

No Comment Found