Tagiuraoob

2022-02-22

What I wanted to ask was , given a homogeneous system of n variables , like this having 4 variables:

${a}_{1}x+{a}_{2}y+{a}_{3}z+{a}_{4}w=0$

${a}_{2}x+{a}_{3}y+{a}_{4}z+{a}_{1}w=0$

${a}_{3}x+{a}_{4}y+{a}_{1}z+{a}_{2}w=0$

${a}_{4}x+{a}_{1}y+{a}_{2}z+{a}_{3}w=0$

Here , as we know that this system has zero solution and we can see that the coefficients are rotating in each of the linear equation .

So , is there any general form for solution of this system other than the zero solution ?

Also , what if we are given the non-zero solution then can we find the values of

$({a}_{1},{a}_{2},{a}_{3},{a}_{4})$

Here , as we know that this system has zero solution and we can see that the coefficients are rotating in each of the linear equation .

So , is there any general form for solution of this system other than the zero solution ?

Also , what if we are given the non-zero solution then can we find the values of

junoon363km

Beginner2022-02-23Added 8 answers

General sollution to AX=0 is the kernel Ker(A).

To say AX=0 only have zero solution (trivial kernel

In your case:

Just need to verify:

For second question, treat

Then it is another linear system you can solve.

Find the volume V of the described solid S

A cap of a sphere with radius r and height h.

V=??

Whether each of these functions is a bijection from R to R.

a)Â $f(x)=\xe2\u02c6\u20193x+4$

b)Â $f\left(x\right)=\xe2\u02c6\u20193{x}^{2}+7$

c)Â $f(x)=\frac{x+1}{x+2}$

?

$d)f\left(x\right)={x}^{5}+1$In how many different orders can five runners finish a race if no ties are allowed???

State which of the following are linear functions?

a.$f(x)=3$

b.$g(x)=5\xe2\u02c6\u20192x$

c.$h\left(x\right)=\frac{2}{x}+3$

d.$t(x)=5(x\xe2\u02c6\u20192)$ Three ounces of cinnamon costs $2.40. If there are 16 ounces in 1 pound, how much does cinnamon cost per pound?

A square is also a

A)Rhombus;

B)Parallelogram;

C)Kite;

D)none of theseWhat is the order of the numbers from least to greatest.

$A=1.5\xc3\u2014{10}^{3}$,

$B=1.4\xc3\u2014{10}^{-1}$,

$C=2\xc3\u2014{10}^{3}$,

$D=1.4\xc3\u2014{10}^{-2}$Write the numerical value of $1.75\xc3\u2014{10}^{-3}$

Solve for y. 2y - 3 = 9

A)5;

B)4;

C)6;

D)3How to graph $y=\frac{1}{2}x-1$?

How to graph $y=2x+1$ using a table?

simplify $\sqrt{257}$

How to find the vertex of the parabola by completing the square ${x}^{2}-6x+8=y$?

There are 60 minutes in an hour. How many minutes are there in a day (24 hours)?

Write 18 thousand in scientific notation.