Find the products AB and BA for the diagonal matrices. A=[3000−50000],B=[−7000400012]

Question

Find the products AB and BA for the diagonal matrices.  A=[3000−50000],B=[−7000400012]

SchulzD · Accepted Answer

Step 1  Given the diagonal matrix:  A=[3000−50000],B=[−7000400012]  Step 2  Multiply the given matrix:  AB=[3000−50000][−7000400012]  =[3(−7)+0⋅0+0⋅03⋅0+0⋅4+0⋅03⋅0+0⋅0+0⋅120⋅(−7)+(−5)⋅0+0⋅00⋅0+(−5)⋅4+0⋅00⋅0+(−5)⋅0+0⋅120⋅(−7)+0⋅0+0⋅00⋅0+0⋅4+0⋅00⋅0+0⋅0+0⋅12]   =[−21000−200000] Since the multiplication of diagonal matrices is commutative.  That is  If A and B are diagonal matrices, then AB = BA.  Thus,  AB=BA=[−21000−200000]

Jeffrey Jordon · Accepted Answer

Answer is given below (on video)

Jeffrey Jordon · Accepted Answer

Answer is given below (on video)

Find the products AB and BA for the diagonal matrices. A=[3000−50000],B=[−7000400012]

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