When it comes to scalar multiplication of an identity matrix, you're essentially multiplying every element within this matrix by a scalar, which is simply a real number. Given that an identity matrix is characterized by the presence of 1's on its diagonal and 0's everywhere else, this operation will yield a diagonal matrix where the diagonal is populated by the scalar value.
| Topic | Problem | Solution |
|---|---|---|
| None | Find the result of the scalar 5 multiplied by the… | The 2x2 identity matrix is \(I = \begin{bmatrix}1 & 0\\0 & 1\end{bmatrix}\). |
| None | Find the result of the scalar 5 multiplied by the… | Firstly, the 2x2 identity matrix is given by \(I = \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}\) |