31) Matrices can be used by television
station executives to describe the channel switching behavior of their eight
o’clock TV news audience.32) As a mathematical tool, determinants
are of value in helping to solve a series of simultaneous equations.33) A set of simultaneous equationscan
be solved through the use of determinants by setting up a proportion of two
special determinants for each unknown variable.34) To create the transpose of a given
matrix, we simply interchange the rows with the columns.
35) A matrix isA) a determination of probability.B) a qualitative tool used to solve a set
of simultaneous equations.C) an array of numbers.D) a single column of non-zero numbers.E) None of the above36) The value of the determinant .jpg”> is A) ab – cd.B) ac – bd.C) ab + cd.D) ac + bd.E) ad – cb.37) The correct determinant value for the
determinant .jpg”> would beA) (8)(4)(3)(6).B) (8)(4) + (3)(6).C) (8)(4) – (3)(6).D) (8)(3) – (6)(4).E) (8)(6) – (3)(4).38) An n ΓΒ m matrix, when added to an n ΓΒ
m matrix, yieldsA) an n ΓΒ m matrix.B) an m ΓΒ n matrix.C) a 2(n ΓΒ m) matrix.D) a 2n ΓΒ 2m matrix.E) None of the above
39) An n ΓΒ m matrix, when added to an m ΓΒ
n matrix, yieldsA) an n ΓΒ m matrix.B) an m ΓΒ n matrix.C) a 2(n ΓΒ m) matrix.D) a 2n ΓΒ 2m matrix.E) None of the above40) An n ΓΒ m matrix, when multiplied by an
n ΓΒ m matrix, yieldsA) an n ΓΒ m matrix.B) an m ΓΒ n matrix.C) an n2 ΓΒ m2 matrix.D) an (n ΓΒ m)2 matrix.E) None of the above41) An n ΓΒ m matrix, when multiplied by an
m ΓΒ n matrix, yieldsA) an n ΓΒ m matrix.B) an m ΓΒ n matrix.C) an n ΓΒ n matrix.D) an n ΓΒ m ΓΒ n matrix.E) None of the above42) An n ΓΒ n matrix, when multiplied by an
n ΓΒ n matrix, yieldsA) an n ΓΒ n matrix.B) a 2n matrix.C) an n2 + n2 matrix.D) an (n ΓΒ n)2 matrix.E) None of the above43) An n ΓΒ m matrix, when multiplied by an
m ΓΒ p matrix, yieldsA) an n ΓΒ m ΓΒ m ΓΒ p matrix.B) an n ΓΒ m ΓΒ p matrix.C) an n ΓΒ p matrix.D) a p matrix.E) None of the above44) Add the matrices .jpg”> + .jpg”>A) .jpg”>B) .jpg”>C) .jpg”>D) .jpg”>E) cannot be added45) Element 1,1 of the inverse of the
matrix .jpg”> isA) -5.B) -4.C) 3.D) 7.E) None of the above
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