The Sizes of Two Matrices Are Given $1 \times 4$ ; B Is

question 268

Multiple Choice

The sizes of two matrices are given. Find the size of the product AB and the size of the product BA, if the given product
can be calculated.
-A is $1 \times 4$ ; B is $1 \times 4$ .

• A) \(\mathrm { AB }\) is \(4 \times 1\); BA is \(1 \times 4\).
• B) \(\mathrm { AB }\) is \(1 \times 1\); BA is \(4 \times 4\).
• C) \(\mathrm { AB }\) cannot be calculated; \(\mathrm { BA }\) cannot be calculated.
• D) \(\mathrm { AB }\) is \(1 \times 4\); BA is \(4 \times 1\).

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Definitions:

Least Squares Method

A mathematical technique used in regression analysis to minimize the sum of the squares of the differences between observed and predicted values.

Sum of Squares

A statistical measure that quantifies the total deviation of data points from their mean, often used in variance and standard deviation calculations.

Coefficient of Correlation

A statistical measure that calculates the strength and direction of the relationship between two variables.

Linear Relationship

A type of correlation where there is a constant rate of change between two variables.