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The restriction on n, k and P so that PY + WY will be defined are -

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Question

The restriction on n, k and P so that PY + WY will be defined are

Options

  • K = 3, P = n

  • K is arbitrary, P = 2

  • Pis arbitrary, K = 3

  • k = 2, p = 3

MCQ

Solution

K = 3, P = n

Explanation:

P and Y are matrices of the order P × K and 3 × k, respectively.

As a result, if K = 3, matrix PY will be defined.

PY will also be of the order P × K.

W and Y are matrices of order n × 3 and 3 × K, respectively.

Matrix WY is well defined and of the order n × k because the number of columns in W equals the number of rows in.

Matrix PY and WY can only be combined if their orders are the same.

PY, on the other hand, is of the order P × Kand WY is of the order n × k.

As a result, P must equal n.

∴ The constraints on n, k, and P are K = 3 and P = n. As a result, PY + WY will be defined.

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