Bytes, Sets, and Java

Given a byte value, write Java code using only assignments statements and bit operators

$($& to create a new byte with the bits of the original byte rotated

two to the right.. For example: if byte $A=109$; that is$,$ A equals $01101101,$ then after

your code executes, the value of A should be $93,$ or $01011011.$

Linear Algebra $-$ Exercises Nethes ils a bads tern valfion

$if$ Tin

$-108$

What is the xetcond row of the irverese? c$.$ Which one$($s$),$ if any, of the following is a basis for $3$ dimensions? Recall that a set of

vectors is a basis for $3$ dimensions iff every point in $3-$dimensions can be written as a

unique linear combination of the vectors in your set. For example, $,$

$(0,0,1)$ is a basis for $3$ dimensions because $(a,b,c)=a(1,0,0)+b(0,1,0)+c(0,0,1).$

a$.\{(1,0,1)(1,4,0)(-4,4,7)\}$

b$.\{(3,-1,2)(5,1,1)\}$

c$.\{(2,1,3)(3,1,-3)(1,1,9)\}$

d$.$ For what values of $x$ is the following array invertible?

e$.$ Given $111$

$023$

$551$

What is the second row of the inverse?

a$.$ Find the determinant of:

b$.$ Find the value for $d,$ such that the set of equations below has no solutions.

$x+y+z=1$

$2x+dy+4z=1$

$y-z=1$