TS EAMCET · Maths · Matrices
If \(X_{4 \times 3}, Y_{4 \times 3}\) and \(P_{2 \times 3}\) are the matrices then the order of the matrix \(\left[P\left(X^T Y\right)^{-1} P^T\right]^T\) is
- A \(4 \times 3\)
- B \(3 \times 4\)
- C \(3 \times 3\)
- D \(2 \times 2\)
Answer & Solution
Correct Answer
(D) \(2 \times 2\)
Step-by-step Solution
Detailed explanation
\(\mathrm{P}_{2 \times 3}, \mathrm{X}_{4 \times 3}, Y_{4 \times 3}\) \(\therefore \mathrm{X}^{\mathrm{T}}\) will be of order \(3 \times 4\) and \(\mathrm{P}^{\mathrm{T}}\) will be of order \(3 \times 2\) \(\therefore\) Order of \(\mathrm{X}^{\mathrm{T}} \mathrm{Y}=3 \times 3\)…
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