লক্ষ্য করুন: এই এন্ট্রির অনুবাদ বর্তমানে মান পর্যালোচনার অধীনে রয়েছে, তাই কিছু বিষয়বস্তু সাময়িকভাবে শুধুমাত্র ইংরেজিতে প্রদর্শিত হচ্ছে।
এই এন্ট্রিটি এখনও আপনার ভাষায় অনুবাদ করা হয়নি, তাই নিচে মূল লেখাটি দেখানো হচ্ছে।
diagonalization
In linear algebra, this term refers to a specific mathematical operation used to simplify the representation of a linear operator. It is a technical term of art used primarily in mathematics, physics, and engineering to describe the process of finding a basis of eigenvectors, which reduces a complex matrix to a simpler diagonal form for easier calculation.
In architectural or design contexts, the term describes a physical arrangement. It refers to the strategic placement of structural elements along a diagonal axis to distribute weight or create visual tension, contrasting with orthogonal or grid-based layouts.
Meanings
The process of transforming a square matrix into a diagonal matrix by finding a similarity transformation.
The diagonalization of the matrix allows for easier computation of its powers.
Examples
The professor explained the process of diagonalization using a simple two by two matrix.
I wonder if this matrix is even capable of diagonalization.
Diagonalization simplifies the calculation of high powers of a matrix.
Diagonalization simplifies the calculation of high powers of a matrix.
We need to perform diagonalization to find the eigenvalues of the system.
The diagonalization of the Hamiltonian is essential for solving the energy levels.
The artist used a subtle diagonalization of lines to create a sense of movement in the painting.
The floor tiles were laid with a slight diagonalization to make the room look wider.
Check if the diagonalization of these elements aligns with the architectural blueprint.