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Expend x hy kx h y k in series of powers of h and k up to second degree terms using taylor's theorem?
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Benefits of Caley hamilton theorem in matrices?
The Cayley-Hamilton (not Caley hamilton) theorem allows powers of the matrix to be calculated more simply by using the characteristic function of the matrix. It can also provide a simple way to calculate the inverse matrix.
Why 5x2y and 3xy2 are NOT like terms?
The powers of x in the two terms are different.The powers of x in the two terms are different.The powers of x in the two terms are different.The powers of x in the two terms are different.
Can you use the product of powers property to multiply powers with different bases?
No.
How do you change powers with negative exponents to powers with positive exponents?
by doing reciprocal
What is the degree of the polynomial 2x7 plus 4 - 3x3 plus 5x8 - 4x?
I'm going to assume the polynomial in question is 2x7+(3-2x3)+(5x8-4x) Expanding out the polynomial: 2x7+3-2x3+5x8-4x Order the terms by powers of x: 5x8+2x7-2x3-4x+3 Since 8 is the highest power of x, the degree of the polynomial is 8.
What is a binominal theorem?
The binomial theorem describes the algebraic expansion of powers of a binomial, hence it is referred to as binomial expansion.
What is the other name for exponent?
Powers, Indices and Degree
Benefits of Caley hamilton theorem in matrices?
The Cayley-Hamilton (not Caley hamilton) theorem allows powers of the matrix to be calculated more simply by using the characteristic function of the matrix. It can also provide a simple way to calculate the inverse matrix.
Define binomial theorem?
The binomial theorem describes the algebraic expansion of powers of a binomial: that is, the expansion of an expression of the form (x + y)^n where x and y are variables and n is the power to which the binomial is raised. When first encountered, n is a positive integer, but the binomial theorem can be extended to cover values of n which are fractional or negative (or both).
What is degree in algebra?
Excluding calculus (which is, in fact, a part of algebra), the degree of an expression is the maximum sum of the powers of the variables in the expression.Consider the expression x2y3 + xy5 + 17x4 The sums of the powers of the three terms are: 2+3 = 5, 1+5 = 6 and 4=4 So the expression is of degree 6.
The degree of a monomial is determined by the sum of the of all its variables?
No. The sum of the powers (or indices) of the variables. The powers MUST be integers. It is also important to remember that the power 1 may not be explicit. For example, degree of x3yz4 is 2+1+4 = 7
What is degree of polynomial terms?
The degree is the sum of all the powers of the variables. In calculating this, remember that the power 1 is normally not explicit.So the degree of x2yz3 is the power of x2y1z3 = 2+1+3 = 6
What is the degree of 6x5 - 4x2 2x3 - 3 x?
5, if the numbers after the "x" are supposed to be powers
What does a degree of a term mean in math?
The degree of a term is the sum of the powers of all the variables in the term. Remember that x = x1. So, the degree of xy3z2 is 1 + 3 + 2 = 6 The degree of xyz is 1 +1 + 1 = 3
What is the degree an algebraic ezpression?
The "degree" is only specified for polynomials. The degree of a monomial (a single term) is the sum of the powers of all the variables. For example, x3y2z would have the degree 6; you have to add 3 + 2 + 1 (since z is the same as z to the power 1). The degree of a polynomial is the degree of its highest monomial.
How can the pythagorean theorem be used to find distances in a coordinate plane?
* substitute the 2 numbers for b *evaluate powers *add *take positive square root of each side *use a calculator
Why did he develop the pythagoream theorem?
he created because he wanted to show that numbers have mystical and spirituals powers to the world he wanted to keep it a secret between him and just the brotherhood of Pyhtagorean's which are now called Pythagorean's Secret Society.
