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Solutions for Chapter 8.1: Matrices and Systems of Equations

Precalculus with Limits | 3rd Edition | ISBN: 9781133947202 | Authors: Ron Larson

Full solutions for Precalculus with Limits | 3rd Edition

ISBN: 9781133947202

Precalculus with Limits | 3rd Edition | ISBN: 9781133947202 | Authors: Ron Larson

Solutions for Chapter 8.1: Matrices and Systems of Equations

Solutions for Chapter 8.1
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Textbook: Precalculus with Limits
Edition: 3
Author: Ron Larson
ISBN: 9781133947202

Precalculus with Limits was written by and is associated to the ISBN: 9781133947202. Chapter 8.1: Matrices and Systems of Equations includes 108 full step-by-step solutions. Since 108 problems in chapter 8.1: Matrices and Systems of Equations have been answered, more than 82191 students have viewed full step-by-step 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: Precalculus with Limits, edition: 3.

Key Calculus Terms and definitions covered in this textbook
  • Angle

    Union of two rays with a common endpoint (the vertex). The beginning ray (the initial side) can be rotated about its endpoint to obtain the final position (the terminal side)

  • Argument of a complex number

    The argument of a + bi is the direction angle of the vector {a,b}.

  • Augmented matrix

    A matrix that represents a system of equations.

  • Closed interval

    An interval that includes its endpoints

  • Compounded monthly

    See Compounded k times per year.

  • Discriminant

    For the equation ax 2 + bx + c, the expression b2 - 4ac; for the equation Ax2 + Bxy + Cy2 + Dx + Ey + F = 0, the expression B2 - 4AC

  • Explicitly defined sequence

    A sequence in which the kth term is given as a function of k.

  • 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

  • Linear system

    A system of linear equations

  • Minute

    Angle measure equal to 1/60 of a degree.

  • n factorial

    For any positive integer n, n factorial is n! = n.(n - 1) . (n - 2) .... .3.2.1; zero factorial is 0! = 1

  • Nonsingular matrix

    A square matrix with nonzero determinant

  • Opens upward or downward

    A parabola y = ax 2 + bx + c opens upward if a > 0 and opens downward if a < 0.

  • Radius

    The distance from a point on a circle (or a sphere) to the center of the circle (or the sphere).

  • Right-hand limit of ƒ at x a

    The limit of ƒ as x approaches a from the right.

  • Solve by substitution

    Method for solving systems of linear equations.

  • Symmetric about the origin

    A graph in which (-x, -y) is on the the graph whenever (x, y) is; or a graph in which (-r, ?) or (r, ? + ?) is on the graph whenever (r, ?) is

  • Symmetric difference quotient of ƒ at a

    ƒ(x + h) - ƒ(x - h) 2h

  • Unit vector

    Vector of length 1.

  • Wrapping function

    The function that associates points on the unit circle with points on the real number line