By substituting Equations (1) into Equations (2), obtain equations for z and Z2 in terms of...

 

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By substituting Equations (1) into Equations (2), obtain equations for z₁ and Z2 in terms of ₁ and x2. If we denote the matrix of these equations by H, then we have z = Hx. Since we also have z = GFx, it is reasonable to write H = GF Can you see how the entries of H are related to the entries of F and G? Equations(1): y1=x1+2x2y2=3x2 Equations(2):z1=y1-y2 z2=-2y1 By substituting Equations (1) into Equations (2), obtain equations for z₁ and Z2 in terms of ₁ and x2. If we denote the matrix of these equations by H, then we have z = Hx. Since we also have z = GFx, it is reasonable to write H = GF Can you see how the entries of H are related to the entries of F and G? Equations(1): y1=x1+2x2y2=3x2 Equations(2):z1=y1-y2 z2=-2y1

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Equation 1 y1 x1 2x2 y2 3x2 Substituting these values for y1 and y2 into Equation 2 Equation 2 z1 y1 ... View the full answer