If `I=[(1 ,0),( 0, 1)]` , `J=[(0, 1),(-1 ,0)]` and `B=[(costheta,sintheta),(-sintheta,costheta)]` , then `B` equals a) `Icostheta+Jsintheta` (b) `Isintheta+Jcostheta` (c) `Icostheta-Jsintheta` (d) ` Icostheta+Jsintheta`

Explanation

To express the matrix \( B \) as a linear combination of the matrices \( I \) and \( J \), we start with the given matrices:

1. **Identity Matrix \( I \)**:
\[ I = \begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix} \]

2. **Matrix \( J \)**:
...