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

question 500

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 $4 \times 4$ ; B is $4 \times 4$ .

• A) \(\mathrm { AB }\) is \(8 \times 4\); \(\mathrm { BA }\) is \(8 \times 4\).
• B) \(\mathrm { AB }\) is \(1 \times 1\); \(\mathrm { BA }\) is \(1 \times 1\).
• C) \(\mathrm { AB }\) is \(4 \times 8\); \(\mathrm { BA }\) is \(4 \times 8\).
• D) \(\mathrm { AB }\) is \(4 \times 4\); \(\mathrm { BA }\) is \(4 \times 4\).

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Definitions:

Decane

A saturated hydrocarbon with the formula C10H22, consisting of a chain of ten carbon atoms.

Moles

A unit of measurement used in chemistry to express amounts of a chemical substance, defined as the amount of any substance that contains as many elementary entities as there are atoms in 12 grams of pure carbon-12.

Line Angle Drawing

A simplified structural formula used in organic chemistry, where lines represent bonds between carbon atoms, and carbon and hydrogen atoms are often not shown for simplicity.

Projection

A method or technique for displaying the properties of something, often used in the context of displaying three-dimensional images on a two-dimensional surface or schematically representing molecules in chemistry.