As far as I can remember: We lived in the Manager’s House in Horipur 100MW Gas Turbine Power Plant, Narayanganj, Bangladesh. My father was the manager of that power plant at that time. It is beside the river শীতলক্ষা (Shitalak-khaa). This is a one-storied building. There was a big jute plant just in the opposite side of the wall. Once there was a huge fire in the jute storage. The fire reached the sky. It took three days and and a huge amount of water from the Shitalakkha river. 1989: There was a great flood this year.
Month: May 2010
Invariant Subspaces
[If the equations are not visible please try refreshing the page] A linear transformation f is a transformation maintaining the following two properties: Any linear transformation can be represented using a matrix multiplication with a vector. Any linear transformation splits the n-dimensional space V into k f-invariant subspaces – direct sum of which returns the original space, V. These subspaces show eigenvector-like property i.e. when any vector from such a subspace is transformed using then where is a scaler value. Now, when all these f-invariant subspaces are one-dimensional, then the basis vector of each such one-dimensional vector is called an …