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MATRICES — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsMATRICES1 Mark
Question
The transpose of a row matrix is:
  1. zero matrix
  2. diagonal matrix
  3. column matrix
  4. row matrix
✓

Answer

  1. column matrix

Solution:

Transpose of row matrix Let $ \text{A}=\begin{bmatrix}\text{x} &\text{amp; y} &\text{amp; z} \end{bmatrix}$ be a row

matrix $\text{A}^\text{T}=\begin{bmatrix}\text{x}\\\text{y}\\\text{z}\end{bmatrix}$Clearly $\text{A}^\text{T}$ is a column matrix $\therefore$ Transpose of row.

 

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