Suppose that A, B, and C are 5 x 5, 5 x 2, and 2 x 9 matrices, respectively. Determine which of the following products are defined. (a) AB (b) BA (c) AC (d) A² Answer: 5 x 9 Answer: undefined Answer: 5 x 5 Answer: 5 x 5 Note: i) For those defined, enter the size of the resulting matrix (e.g. 3 x 4 with spaces between the numbers ii) For those undefined, enter undefined.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.CR: Chapter 10 Review
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Suppose that A, B, and C are 5×5, 5×2, and 2×9 matrices, respectively.

Determine which of the following products are defined.

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i got the ones in red wrong but the one in green is right

Suppose that A, B, and Care 5 × 5, 5 × 2, and 2 × 9 matrices, respectively.
Determine which of the following products are defined.
(a) AB
(b) BA
(c) AC
(d) A²
Answer: 5 x 9
Answer: undefined
Answer: 5 x 5
Answer: 5 x 5
Note:
i) For those defined, enter the size of the resulting matrix (e.g. 3 x 4 with spaces between the numbers and x).
ii) For those undefined, enter undefined.
Transcribed Image Text:Suppose that A, B, and Care 5 × 5, 5 × 2, and 2 × 9 matrices, respectively. Determine which of the following products are defined. (a) AB (b) BA (c) AC (d) A² Answer: 5 x 9 Answer: undefined Answer: 5 x 5 Answer: 5 x 5 Note: i) For those defined, enter the size of the resulting matrix (e.g. 3 x 4 with spaces between the numbers and x). ii) For those undefined, enter undefined.
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