EBK INTERMEDIATE ALGEBRA
13th Edition
ISBN: 9780134719023
Author: Johnson
Publisher: YUZU
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Chapter C, Problem 16ES
a Solve using matrices
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Solve questions by Course Name Ordinary Differential Equations
Determine whether it's true or false and the reasoning is needed
1. (20 pts) Determine whether the following statements are true (T) or false (F)? (A
reasoning is required.)
(1) Let V be the set of all ordered pairs of real numbers. Consider the following
addition and scalar multiplication operations on u =
u= (u1, u2) and v =
(v1, v2): u + v = (U₁ + V₁, U₂ + v₂), ku = (ku₁, u₂). Is V a vector space
under the above operations?
U2
(2) The set Mmxn of all m×n matrices with the usual operations of addition
and scalar multiplication is a vector space.
α
(3) The dimension of the vector space of all matrices A = [a b] in R2×2 with
a+d=0 is 4.
(4) The coordinate vector of p(x) = 2-x+x² in P3 relative to the basis S =
{1, 1+x, x + x2} is [4 -2 1].
(5) If a 6×4 matrix A has a rank 3, then the dimension of N(A) is 3.
Chapter C Solutions
EBK INTERMEDIATE ALGEBRA
Ch. C - Solve using matrices: 5x2y=44,2x+5y=6.Ch. C - Solve using matrices: x2y+3z=4,2xy+z=1,4x+y+z=1.Ch. C - a Solve using matrices
1.
Ch. C - a Solve using matrices
2.
Ch. C - a Solve using matrices
3.
Ch. C - a Solve using matrices
4.
Ch. C - a Solve using matrices 5x3y=2,4x+2y=5Ch. C - a Solve using matrices
6.
Ch. C - a Solve using matrices 2x3y=50,5x+y=40Ch. C - a Solve using matrices
8.
Ch. C - a Solve using matrices
9.
Ch. C - a Solve using matrices 3x+2y+2z=3,x+2yz=5,2x4y+z=0Ch. C - a Solve using matrices p+q+r=1,p2q3r=3,4p+5q+6r=4Ch. C - a Solve using matrices x+2y3z=9,2xy+2z=8,3xy4z=3Ch. C - a Solve using matrices
13.
Ch. C - a Solve using matrices 4a+9b=8,8a+6c=1,6b+6c=1Ch. C - a Solve using matrices 3p+2r=11,q7r=4,p6q=1Ch. C - a Solve using matrices
16.
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