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Question: Answered & Verified by Expert
If A is a non-null row matrix with 5 columns and B is a nonnull column matrix with 5 rows, how manyrows are there in $\mathrm{A} \times \vec{B}$ ?
MathematicsMatricesNDANDA 2006 (Phase 2)
Options:
  • A 1
  • B 5
  • C 10
  • D 25
Solution:
1743 Upvotes Verified Answer
The correct answer is: 1
If there is matrix of $m$ rows and $n$ columns and another with $n$ rows and k columns, their product will be a matrix of $\mathrm{m}$ rows and $\mathrm{k}$ column. A is a non-null matrix with one row and 5 columns and $\mathrm{B}$ is a non-null matrix with 5 rows and one column. Therefore number of row in $\mathrm{A} \times \mathrm{B}$ is 1.

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