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No.
A matrix polynomial is an algebraic expression in which the variable is a matrix.
A polynomial matrix is a matrix in which each element is a polynomial.
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Are polynomial and trinomial the same?
A trinomial is a polynomial. All trinomials are polynomials but the opposite is not true. a trinomial= three unlike terms. a polynomial= "many" unlike terms.
Can a matrix with dimensions of 4 X 5 be added to another matrix with dimensions of 5 X 3?
No. Matrix addition (or subtraction) is defined only for matrices of the same dimensions.
What is the difference in evaluating a polynomial and solving a polynomial?
Evaluating a polynomial is finding the value of the polynomial for a given value of the variable, usually denoted by x. Solving a polynomial equation is finding the value of the variable, x, for which the polynomial equation is true.
If you multiply a linear polynomial by a quadratic one what is the degree of the product polynomial?
It will be a cubic polynomial.
What does it mean for a polynomial to be closed under addition subtraction and multiplication?
It means that you can do any of those operations, and again get a number from the set - in this case, a polynomial. Note that if you divide a polynomial by another polynomial, you will NOT always get a polynomial, so the set of polynomials is not closed under division.
How do you find eigenvalues of a 3 by 3 matrix?
Call your matrix A, the eigenvalues are defined as the numbers e for which a nonzero vector v exists such that Av = ev. This is equivalent to requiring (A-eI)v=0 to have a non zero solution v, where I is the identity matrix of the same dimensions as A. A matrix A-eI with this property is called singular and has a zero determinant. The determinant of A-eI is a polynomial in e, which has the eigenvalues of A as roots. Often setting this polynomial to zero and solving for e is the easiest way to compute the eigenvalues of A.
What is idempotent matrix?
An idempotent matrix is a matrix which gives the same matrix if we multiply with the same. in simple words,square of the matrix is equal to the same matrix. if M is our matrix,then MM=M. then M is a idempotent matrix.
What is a matrix with the same number of rows as columns?
A matrix having the same number of rows and columns is a SQUARE MATRIX.
At most how many unique roots will a fourth degree polynomial have?
4, the same as the degree of the polynomial.
Are polynomial and trinomial the same?
A trinomial is a polynomial. All trinomials are polynomials but the opposite is not true. a trinomial= three unlike terms. a polynomial= "many" unlike terms.
What is the meaning of polynomial expression?
If a polynomial expression is derived from a word problem it has the same meaning as the word problem. Polynomial expressions that represent scientific laws have the specific meaning of that law.
What are the applications of linked list?
1.Sparse matrix representation 2. polynomial manipulation 3.dyanamic memory storage 4.in symbol table
Is an algebraic equation the same as a polynomial equation?
yes
How do you find Polynomial?
A polynomial is a sum of a finite number of terms in which each term is of the form a*Xn where a is a coefficient, X is a variable and n is a non-negative integer.a may be integer, rations, real or complex;X may be a numerical variable or a matrix.
Are polynomial and mononomial the same?
No. A monomial (watch the spelling, please - only one "no") is a special case of a polynomial. A polynomial may have any number of terms; a monomial has exactly one term.
What is it called when expressions have the same power?
I suspect that the answer is a homogeneous polynomial.
Is the scalar matrix is always a identity matrix?
No. A scalar matrix is a diagonal matrix whose main diagonal elements are the same. Only if the diagonal elements are all 1 is it an identity matrix.
