 64.6.4.1: Use Definition 6.14 to compute the determinants of the following ma...
 64.6.4.2: Use Definition 6.14 to compute the determinants of the following ma...
 64.6.4.3: Repeat Exercise 1 using the method of Example 2.
 64.6.4.4: Repeat Exercise 2 using the method of Example 2.
 64.6.4.5: Find all values of that make the following matrix singular. A = 1 1...
 64.6.4.6: Find all values of that make the following matrix singular. A = 1 2...
 64.6.4.7: Find all values of so that the following linear system has no solut...
 64.6.4.8: Find all values of so that the following linear system has an infin...
 64.6.4.9: Use mathematical induction to show that when n > 1, the evaluation ...
 64.6.4.10: Let A be a 3 3 matrix. Show that if A is the matrix obtained from A...
 64.6.4.11: The solution by Cramers rule a11x1 + a12 x2 + a13x3 = b1, a21x1 + a...
 64.6.4.12: Prove that AB is nonsingular if and only if both A and B are nonsin...
 64.6.4.13: a. Generalize Cramers rule to an n n linear system. b. Use the resu...
Solutions for Chapter 64: The Determinant of a Matrix
Full solutions for Numerical Analysis (Available Titles CengageNOW)  8th Edition
ISBN: 9780534392000
Solutions for Chapter 64: The Determinant of a Matrix
Get Full SolutionsNumerical Analysis (Available Titles CengageNOW) was written by and is associated to the ISBN: 9780534392000. Chapter 64: The Determinant of a Matrix includes 13 full stepbystep solutions. Since 13 problems in chapter 64: The Determinant of a Matrix have been answered, more than 11924 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Numerical Analysis (Available Titles CengageNOW) , edition: 8.

Addition property of inequality
If u < v , then u + w < v + w

Aphelion
The farthest point from the Sun in a planet’s orbit

Damping factor
The factor Aea in an equation such as y = Aeat cos bt

Distance (on a number line)
The distance between real numbers a and b, or a  b

Dot product
The number found when the corresponding components of two vectors are multiplied and then summed

Extraneous solution
Any solution of the resulting equation that is not a solution of the original equation.

Focal axis
The line through the focus and perpendicular to the directrix of a conic.

Interquartile range
The difference between the third quartile and the first quartile.

Inverse cosine function
The function y = cos1 x

Lefthand limit of f at x a
The limit of ƒ as x approaches a from the left.

Linear factorization theorem
A polynomial ƒ(x) of degree n > 0 has the factorization ƒ(x) = a(x1  z1) 1x  i z 22 Á 1x  z n where the z1 are the zeros of ƒ

Local extremum
A local maximum or a local minimum

Parallelogram representation of vector addition
Geometric representation of vector addition using the parallelogram determined by the position vectors.

Polynomial interpolation
The process of fitting a polynomial of degree n to (n + 1) points.

Quotient of functions
a ƒ g b(x) = ƒ(x) g(x) , g(x) ? 0

Rational zeros theorem
A procedure for finding the possible rational zeros of a polynomial.

Residual
The difference y1  (ax 1 + b), where (x1, y1)is a point in a scatter plot and y = ax + b is a line that fits the set of data.

Sample space
Set of all possible outcomes of an experiment.

Scalar
A real number.

Triangular form
A special form for a system of linear equations that facilitates finding the solution.