Matrix addition and scalar multiplication

Summary

• Scalar multiplication: \(A\) is an \(n×m\) matrix with elements \(a_{i,j}\) and \(α\) is a scalar. \(αA\) is a new \(n×m\) matrix with elements \(αa_{i,j}\)
• Matrix addition: \(A,B\) are \(n×m\) matrices with elements \(a_{i,j}\) and \(b_{i,j}\) respectively. \(A+B\) is a new \(n×m\) matrix with elements \(a_{i,j}+b_{i,j}\)