0
Prove that eigenvectors of a symmetric matrix corresponding to different eigenvalues are orthogonal?
Kamalmishragp3466
Want this question answered?
Be notified when an answer is posted
Add your answer:
Earn +20 pts
What are the sides that are in the same position in different plane figures?
corresponding
Can corresponding sides be different lengths?
Yes, in the context of similar shapes.
What are the different of congruent triangle and similar triangle?
The corresponding angles in both cases are the same. With congruent triangles, the lengths of the corresponding sides are also equal.
How are the different dimension related to one another?
Space can be divided into n different dimensions. Every dimension is orthogonal to rest all the dimensions. That is the dot product of x with y is zero (y not equal to x).
Is it true that AAA angle-angle-angle does not guarantee congruence between two triangles?
The answer is no. When two triangles are congruent all three corresponding sides are the same and all three corresponding angles are the same. Two triangles with the same corresponding angles can have corresponding sides different so they are not congruent.
What are the sides that are in the same position in different plane figures?
corresponding
What are orthogonal wave functions?
Math Prelude: Orthogonal wave functions arise as a natural consequence of the mathematical structure of quantum mechanics and the relevant mathematical structure is called a Hilbert Space. Within this infinite dimensional (Hilbert) vector space is a definition of orthogonal that is exactly the same as "perpendicular" and that is the natural generalization of "perpendicular" vectors in ordinary three dimensional space. Within that context, wave functions are orthogonal or perpendicular when the "dot product" is zero. Quantum Answer: With that prelude, we can then say that mathematically, the collection of all quantum states of a quantum system defines a Hilbert Space. Two quantum functions in the space are said to be orthogonal when they are perpendicular and perpendicular means the "dot product" is zero. Physics Answer: The question asked has been answered, but what has not been answered (because it was not was not asked), is why orthogonal wave functions are important. As it turns out, anything that you can observe or measure about the state of a quantum system will be mathematically represented with Hermitian operators. A "pure" state, i.e. one where the same measurement always results in the same answers, is necessarily an eigenstate of a Hermtian operator and any two pure states that give two different results of measurement are necessarily "orthogonal wave functions." Conclusion: Thus, there are infinitely many orthogonal wave functions in the set of all wave functions of a quantum system and that orthogonal property has no physical meaning. When one identifies the subset of quantum states that associated pure quantum states (meaning specifically measured properties) and then two distinguishable measurement outcomes are associated with two different quantum states and those two are orthogonal. But, what was asked was a question of mathematics. Mathematically orthogonal wave functions do not guarantee distinct pure quantum state, but distinct pure quantum states does guarantee mathematically orthogonal wave functions. You can remember that in case someone asks.
What different words can be used for like?
similar, as, akin, analogous or corresponding
Who approves applications for patents?
Different countries have their corresponding "patent offices".
Can corresponding sides be different lengths?
Yes, in the context of similar shapes.
What are the different of congruent triangle and similar triangle?
The corresponding angles in both cases are the same. With congruent triangles, the lengths of the corresponding sides are also equal.
How are the different dimension related to one another?
Space can be divided into n different dimensions. Every dimension is orthogonal to rest all the dimensions. That is the dot product of x with y is zero (y not equal to x).
Is it true that AAA angle-angle-angle does not guarantee congruence between two triangles?
The answer is no. When two triangles are congruent all three corresponding sides are the same and all three corresponding angles are the same. Two triangles with the same corresponding angles can have corresponding sides different so they are not congruent.
What is the plural of different?
Different is an adjective and does not change. The corresponding nouns are:difference - plural form differencesdifferentness - plural form differentnesses
Will a A trait controlled by a dominant gene be expressed even if the instructions of the corresponding gene in the other half of the pair are different?
Yes, a trait controlled by a dominant gene will be expressed even if the instructions of the corresponding gene in the other half of the pair are different.
Why electrical cables are available in different diameter sizes?
The different electrical cable diameters are corresponding to the different electric currents that could be tolerated by the cables.
Why is it important to measure 3 same objects different sizes from corresponding points?
trigometric calculation
