True or False 1.There are infinitely many values of the logarithm of a complex number z if you add 2π in its principal argument. 2.Suppose the complex number z is situated along the real x axis, then the principal argument of z is equal to π. 3.Suppose the complex number is in polar form 2 < 450°, then principal argument of z is equal to 450°. 4.Cofactor matrix is another matrix of order n in which all its elements in matrix A are replaced by their respective signed minor. 5.Suppose A is a square matrix with det(A)=0, then matrix A has an inverse matrix.

True or False 1.There are infinitely many values of the logarithm of a complex number z if you add 2π in its principal argument. 2.Suppose the complex number z is situated along the real x axis, then the principal argument of z is equal to π. 3.Suppose the complex number is in polar form 2 < 450°, then principal argument of z is equal to 450°. 4.Cofactor matrix is another matrix of order n in which all its elements in matrix A are replaced by their respective signed minor. 5.Suppose A is a square matrix with det(A)=0, then matrix A has an inverse matrix.

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter13: Conic Sections

Section13.1: Circles

Problem 48PS

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Question

True or False

1.There are infinitely many values of the logarithm of a complex number z if you add 2π in
its principal argument.
2.Suppose the complex number z is situated along the real x axis, then the principal
argument of z is equal to π.
3.Suppose the complex number is in polar form 2 < 450°, then principal argument of z is
equal to 450°.

4.Cofactor matrix is another matrix of order n in which all its elements in matrix A are
replaced by their respective signed minor.
5.Suppose A is a square matrix with det(A)=0, then matrix A has an inverse matrix.

Combination of a real number and an imaginary number. They are numbers of the form a + b , where a and b are real numbers and i is an imaginary unit. Complex numbers are an extended idea of one-dimensional number line to two-dimensional complex plane.

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