Assume X- Y- Z- W and P are matrices of order 2 - n- 3 - k- 2 - p- n - 3- and p - k respectively- The restriction on n- k and p so that P Y-W Y will be definedare-A- k-3- p-nB- k is arbitrary- p-2C- p is arbitrary- k-3D- k-2- p-3

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Triangular Matrix

Assume X, Y, ...

Question

Assume X, Y, Z, W and P are matrices of order, and respectively. The restriction on n, k and p so that will be defined are:

A. k = 3, p = n

B. k is arbitrary, p = 2

C. p is arbitrary, k = 3

D. k = 2, p = 3

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Solution

Matrices P and Y are of the orders p × k and 3 × k respectively.

Therefore, matrix PY will be defined if k = 3. Consequently, PY will be of the order p × k.

Matrices W and Y are of the orders n × 3 and 3 × k respectively.

Since the number of columns in W is equal to the number of rows in Y, matrix WY is well-defined and is of the order n × k.

Matrices PY and WY can be added only when their orders are the same.

However, PY is of the order p × k and WY is of the order n × k. Therefore, we must have p = n.

Thus, k = 3 and p = n are the restrictions on n, k, and p so that will be defined.

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Assume X, Y, Z, W and P are matrices of order, and respectively. The restriction on n, k and p so that will be defined are: A. k = 3, p = n B. k is arbitrary, p = 2 C. p is arbitrary, k = 3 D. k = 2, p = 3

Assume X, Y, Z, W and P are matrices of order, and respectively. The restriction on n, k and p so that will be defined are:

A. k = 3, p = n

B. k is arbitrary, p = 2

C. p is arbitrary, k = 3

D. k = 2, p = 3