1.find a number T such that (3,1,4),(2,-3,5),(5,9,t) is not linearly independent in R³.
2.let v be the subspace of R⁵ defined by v={(x1,x2,x3,x4, X5)€R⁵:2x1=x2 and X3=X5}
2.1.find a basis of v.
2.2.find a subspace w of R⁵ such that R⁵=v©w.
3.suppose v1,v2,...VM are finite-dimensional subspace of v.prove that v1+v2+...+VM is finite-dimensional and dim(v1+v2+....+VM)is greater or equal dimv1+dimv2+...+dimvm.
m rows, n columns:
input:
3,3
output:
1 2 3
4 5 6
7 8 9
Write appropriate C++ statement/s for each of the given conditions below.
1.
A
function call
that passes the value of
x
. The function is named as
getNumber
.
2.
A
function call
that passes the values of two parameters
x
and
y
. The function is named
as
computeArea
.
3.
A
function heading
named
minimum
with two integer parameters called
n1
and
n2
and
returns an integer result.
4.
A
function heading
of void function named as
computeP
erimeter
with two integer
parameters called
p1
and
p2
.
5.
A
void function
named as
check
with one formal parameter of type integer, that will
determine if the value
received in the parameter is positive or negative.
validation:
username should be in between 4 and 25
should start with letters but not underscore
should not be special characters
input:
output:
true
input:
google@123
output:
false
A single current-carrying circular loop of radius R=3.2cm is placed next to a long straight wire as shown in Figure. A current i1=−4.3A is passing through the wire towards right. At a certain moment an electron is moving at a velocity, v =440.0j m/s toward the centre of the circular wire. At the instant shown in figure, the electron’s distance from the wire is d=5.5cm. The distance between the circular loop and the wire is R/2.
a) Compute the magnitude of the magnetic field at the centre c due to the current passing through the straight wire
b) What is the magnitude of magnetic field at the centre c due to the motion of the electron
c) In unit vector notation, find the magnetic force on the electron due to the current passing through the straight wire
d) Calculate the magnitude and direction of the current to the circular wire to produce zero magnetic field at its centre c. Consider counter-clockwise circulation of current as positive
max points on your card:
input:
2
3
CA D9 H8
3
SJ SQ S8
OUTPUT:
11
28
1.determine whether the set S is subspace of R⁵ defined by S={(x1,X2,X3,x4,X5)€R⁵:x1=3x2 and X3=7x4}.
2.let S be a subset of f³ defined as S={(x,y,z)€F³:x+y+2z-1=o},then determine S is a subspace of f³ or not.
3.suppose v is a subspace of v.then show that v+v=v.
4.suppose v={(x,y,x+y,x-y,2x)€f⁵:x,y€f}.find a subspace w of f⁵ such that f⁵=v©w.
pager:
input:
abde(1+2+4+5)
output:
12
input:
XYZ
output:
75
Find the value of σ x̅. Use the choices on no. 4 problem. Use this data: Consider the score examples illustrated, in which random samples of size 16 are obtained from N (25,9)
use pascals triangle to expand the binomical expression (1+2x)^3?