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Finite Mathematics for the Manager...

12th Edition
Soo T. Tan
ISBN: 9781337405782

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BuyFindarrow_forward

Finite Mathematics for the Manager...

12th Edition
Soo T. Tan
ISBN: 9781337405782
Textbook Problem

Let

A = [ 0 3 0 1 0 1 0 2 0 ] B = [ 2 4 5 3 1 6 4 3 4 ]

C = [ 4 5 6 3 1 6 2 2 3 ]

a. Compute A B .

b. Compute A C .

c. Using the result of parts (a) and (b), conclude that A B = A C does not imply that B = C .

To determine

a)

To compute:

Product AB for the given matrices.

Explanation

Given:

The given matrices are:

A=[030101020], B=[245316434] and C=[456316223]

Calculation:

Consider the matrix A and matrix B,

A=[030101020] and B=[245316434]

Compute the product AB for considered matrices as follows,

AB=[030101020][245316434]=[0×2+3×3+0×40×4+(3×1)+0×3

To determine

b)

To compute:

Product AC for the given matrices.

To determine

c)

To conclude:

That product AB=AC does not imply that B=C.

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