Question 1

What is a matrix determinant?

Accepted Answer

The determinant is a scalar value computed from a square matrix. For 2x2: det = ad - bc. It determines if a matrix is invertible (det not equal to 0).

Question 2

How do I multiply two matrices?

Accepted Answer

Each element C[i,j] is the dot product of row i from A and column j from B. Columns of A must equal rows of B.

Question 3

What is the trace of a matrix?

Accepted Answer

The trace is the sum of elements on the main diagonal: tr(A) = a11 + a22 + ... + ann.

Question 4

What is a transpose matrix?

Accepted Answer

The transpose A^T swaps rows and columns. If A is m x n, then A^T is n x m.

Question 5

When can I add two matrices?

Accepted Answer

Matrices can only be added if they have the same dimensions. Add corresponding elements.

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