Matrix P = [[5, 0], [0, 5]] and Matrix Q = [[1, 0], [0, 1]]. Which statement correctly describes both matrices?

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Question

Matrix P = [[5, 0], [0, 5]] and Matrix Q = [[1, 0], [0, 1]]. Which statement correctly describes both matrices?

Accepted Answer

P is a scalar matrix and Q is an identity matrix — An identity matrix has 1s on the main diagonal and 0s elsewhere, which describes Q. A scalar matrix has a constant value on the main diagonal and 0s elsewhere, which describes P (with constant 5). Since P is also a scalar matrix (not the unit identity), Option A is incorrect. Option C wrongly calls Q a zero matrix. Option D is too narrow since both qualify as more specific types beyond just diagonal.

Answer

Both P and Q are diagonal matrices only

Answer

P is an identity matrix and Q is a zero matrix

Answer

P is a scalar matrix and Q is an identity matrix

Answer

Both P and Q are identity matrices

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