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Q: Is eigenvalue of any operator must be real?
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Is 0 an eigenvalue?

Yes it is. In fact, every singular operator (read singular matrix) has 0 as an eigenvalue (the converse is also true). To see this, just note that, by definition, for any singular operator A, there exists a nonzero vector x such that Ax = 0. Since 0 = 0x we have Ax = 0x, i.e. 0 is an eigenvalue of A.


What is meant by the word eigenvalue?

The term "eigenvalue" refers to a noun which means each set of values of parameter for which differential equation has a nonzero solution. It can also refers to any number such that given matrix subtracted by the same number and multiply to the identity matrix has a zero determinant.


How do you perform any operation by giving any operator?

You cannot perform any operation by giving any operator. The operation must be valid in the domain and range.For example, you often cannot perform the square rootoperation using the square root operator if your domain and range are integers. At the level of maths that I guess you are at (from this question), the square root of a negative number is not a operation that is defined.


Is an email agreement binding with real estate in Oregon?

That is unlikely. Generally, any agreement for the sale of real estate must be in writing and signed by the parties.That is unlikely. Generally, any agreement for the sale of real estate must be in writing and signed by the parties.That is unlikely. Generally, any agreement for the sale of real estate must be in writing and signed by the parties.That is unlikely. Generally, any agreement for the sale of real estate must be in writing and signed by the parties.


What is a Hermitian operator?

A Hermitian operator is a linear operator that is equal to its own adjoint. In other words, the adjoint of a Hermitian operator is the same as the operator itself. Hermitian operators play a key role in quantum mechanics as they correspond to observable physical quantities.


Which operator works like sizeof operator in Java?

Java does not have the sizeOf() operator or any operator that gives an equivalent result.


How can you create a new operator through operator overloading?

You cannot create a new operator through operator overloading. You can only redefine an existing operator, with certain limitations. As an example, for a class of complex numbers, having a real and an imaginary part, you might want an addition operator. This is the skeleton of code to do that. I only show the operator, not any constructors or other operators or methods, etc.class complex {private:double real, imaginary;public:complex operator+ (complex operand) {complex temp;temp.real = this.real + operand.real;temp.imaginary = this.imaginary + operand.imaginary;return temp;}};The above answer is for C++. Since this question is also categorized in Java Programming it's important to note that operator overloading is not currently possible in Java.


How can you can create a new operator through operator overloading?

You cannot create any new operators in C++. You can only overload the existing ones (although some, such as sizeof, new and delete cannot be overloaded). The only way to create a new operator is to implement it as a standard function with a named identifier. For instance, sqrt() is the standard library function that provides the square root operator, for which no real operator exists.


Real square roots of -196?

None. The square of any real number must be non-negative.


Is there is any difference between -algebra and operator algebra?

Only the word "operator"


Where do you look up liens on your home?

Visit your local land records office and the staff will assist you. Any liens against you and your real property must be filed there.Visit your local land records office and the staff will assist you. Any liens against you and your real property must be filed there.Visit your local land records office and the staff will assist you. Any liens against you and your real property must be filed there.Visit your local land records office and the staff will assist you. Any liens against you and your real property must be filed there.


What do you need to do to pass the la mta BOCAT physical assesment test?

The BOCAT or Bus Operator Canadate Assesment Test is given to make sure prior to any pre-employment physical exam the the Bus Operator Canadate is able to preform the job duities of a Bus Operator. This requirement was due to Federal regulations that the LACMTA must follow as a motor coach operator.