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Chapter 4: Q62. (page 188)

Find the product, if possible.

" width="9" height="19" role="math">(74−12−35)(35)

Short Answer

Expert verified

The product is not possible.

Step by step solution

01

Step 1- Apply the concept of multiplication of matrix.

Matrix multiplication is a binary operation that produces a matrix from two matrices. For matrix multiplication, the number of columns in the first matrix must be equal to the number of rows in the second matrix.

02

Step 2- Step description.

To multiply the two matrices the number of columns in the first matrix is must be equal to the number of rows in the second matrix.

Here the number of columns in first matrix is not equal to the number of rows in the second matrix thus product is not possible.

03

Step 3- Step description.

Therefore, the product of the matrix is not possible.

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Most popular questions from this chapter

For exercises 30 and 31, use the costs for an overnight stay at a hotel that are given below.

Single room: \(60 weekday; \)79 weekend

Double room: \(70weekday; \)89weekend

Suite: \(75 weekday; \)95 weekend

30. Write a 2×3 matrix that represents the cost of each room.

For exercise 43-45, use the following information.

The parking garage at Burrough’s Department store charges $1.50 for each hour or fraction of an hour for parking.

45. Jada went shopping at Burrough’s Department store yesterday. She left her car in the parking garage for two hours and twenty-seven minutes. How much did Jada pay for parking?

Use matrices A, B, and C to find the following.

A=2356,B=−1704,C=9−4−65

A+B+C

Determine whether each matrix product is defined. If so, state the dimensions of the product.

A3×1⋅B1×5

Give an example of two matrices whose sum is zero matrix.
See all solutions

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