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Chapter 2: Q3E (page 85)

If possible, compute the matrix products in Exercises 1 through 13, using paper and pencil.

3. [123456][1234]

Short Answer

Expert verified

Product of given matrix is not defined.

Step by step solution

01

Step1:Matrix multiplication 

If A is matrix of ordern脳p and B is matrix of order.m脳q Then the matrix multiplication ofABIs defined only if.p=m

If Bis am脳qmatrix and A n脳pmatrix, then the product BAis defined as the matrix of the linear transformation.T(x鈫�)=B(Ax鈫�)

.

02

Assuming the matrix

Let the given matrix

A=[123456],B=[1234]

Order of MatrixA is 2脳3and order of matrix B is 2脳2.

Since 3鈮�2.Thus the product is not defined.

Hence, the product of the given matrix is not defined.

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TRUE OR FALSE?

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