Explain why V4 is an eigenvector for A.

Q: Select two positive integers a and b with 5 <  a  ≤  20  and 5  <  b ≤  20.

A:

Q: b) –5x + 3 > 8 6 –5 –4 –3 –2 –1 0 i 2 3 -3 - 2 4 5 6 |

A: Given, -5x+3≥8 Aim: Graph inequality

Q: 7. Show that

A:

Q: 3. Let A = {1, 2, 3}. What is |A|?

A: If A = {x,y,z}  |A| = sqrt x^2 + y^2 + z^2

Q: 11 |72.6

A:

Q: 8. Let a, b and c be any positive real numbers. Prove that b² + c² a²+b² 2c a² + c² + 2b 2a > a+b+c.

A:

Q: let a,b,c,d,e and f be different positive integers so that a² - b² = c² - d² = e² - f² = 63. Value a…

A: Given:- a,b,c,d,e and f are different positive integers.  also a2-b2=c2-d2=e2-f2=63. To find :- the…

Q: Find L¹ S 5²-48-7)

A:

Q: Show that if ax2 + bx + c = 0 for all x, then a = b = c =0

A: It is given that, ax2+bx+c=0 for all x,  To prove a = b = c = 0

Q: а) За — 5 <7х + 7 -6 –5 –4–3 -2 – 1 1 2 4 5 3

A:

Q: 4. 1 + 2 + 2² + 2³ + ... + 2^-¹ = 2^-1 +2²+2³+...+2n-1

A:

Q: 2 4. Express 989 = 23 43 in the form x² + xy + 5y².

A: The given number is 989. The objective is to express the given number in the form of x2+xy+5y2.

Q: 3. Determine all the units of Z40 and of Z11.

A:

Q: 2. Find 14 --3-6 -8 7) 4

A: To find the product matrices.

Q: 3) Find integers x and y such that 13x + 15y = 1.

A: We see, 15 - 13 = 2              =&gt; k(15 - 13) = 2k for any integer k              =&gt; 15 k -…

Q: -5² + 3(¯5)² 50 O -50 O 49 O -49

A:

Q: - Let z = = [11, 12, 13]T 5x1 +4x2+3x3 = 9 211+12-4x3 = 8

A: Given: Let we have to solve the given system

Q: с. In(х + 2) +Inx —D In(x + 12)

A: