are only for non zero numbers. 10 Example Prove that -a xb= -(a x b) for...

Question

Question

are only for non zero numbers. 10 Example Prove that -a xb= -(a x b) for a,bER. 10.1 Proof Proof

Answer 1

Answer #1

Here I'm using distributive law that is a x(b+c)=(axb)+(axc).also -a+a=0.solution is below thank you.

axb=-(axb) fer a, b Elr. prove that solna let consider a,b EIR Gaxb) + (axb) =(-ata) xb ... (by distributie - (low) =102xb ea

Answer 2

Similar Homework Help Questions

Please do problem 9 and write a detailed proof when doing (a) 9. Letbe the relation on the set of non-zero real numbers defined as follows: for r, y E R [0), x~ylf and only if-EQ (a) Prove thatis an...

Please do problem 9 and write a detailed proof when doing (a) 9. Letbe the relation on the set of non-zero real numbers defined as follows: for r, y E R [0), x~ylf and only if-EQ (a) Prove thatis an equivalence relation. (b) Determine the equivalence class of π. 9. Letbe the relation on the set of non-zero real numbers defined as follows: for r, y E R [0), x~ylf and only if-EQ (a) Prove thatis an equivalence relation. (b)...
Prove all non-zero integers a and b, if gcd(a, b) = d then for all non-zero...

Prove all non-zero integers a and b, if gcd(a, b) = d then for all non-zero integers x if a|x and b|x then ab|dx.
b. State the Leibnitz formula for determinants and describe how to get for an n × n-matrix nt-many terms. Explain how for a triangular matrix only one term can be non-zero. 10. State and prove Cr...

b. State the Leibnitz formula for determinants and describe how to get for an n × n-matrix nt-many terms. Explain how for a triangular matrix only one term can be non-zero. 10. State and prove Cramer's rule. b. State the Leibnitz formula for determinants and describe how to get for an n × n-matrix nt-many terms. Explain how for a triangular matrix only one term can be non-zero. 10. State and prove Cramer's rule.

4. [5 Pts] Prove that the product of a non-zero rational number and an irrational number...

4. [5 Pts] Prove that the product of a non-zero rational number and an irrational number is irrational. Can you use a direct proof? Why or why not?
For natural numbers x and y, define xRy if and only if x^2 + y is...

For natural numbers x and y, define xRy if and only if x^2 + y is even. Prove that R is an equivalence relation on the set of natural numbers and find the quotient set determined by R. What would the quotient set be? can this proof be explained in detail?
4·Let A and B be non-empty subsets of a space X. Prove that A U B...

4·Let A and B be non-empty subsets of a space X. Prove that A U B is disconnected if A n B)U(A nB) 0. Prove that X is connected if and only if for every pair of non-empty subsets A and B of X such that X A U B we have (A B)U (An B)O.

2 Determine if the set W = {(a, b, ab): where a and b are non-zero...

2 Determine if the set W = {(a, b, ab): where a and b are non-zero real numbers) is a subspace of R3. If it is prove it, if it does not show which vector space axiom fails.
(i) Show that a non-zero polynomial in ??[?]Zp[x] has exactly ?−1p−1 associates. (ii) Let ?R be...

(i) Show that a non-zero polynomial in ??[?]Zp[x] has exactly ?−1p−1 associates. (ii) Let ?R be a field, 0≠?(?),?(?)∈?[?]0≠a(x),b(x)∈R[x]. Prove that ?(?)a(x) ?(?)b(x) are associates of each other if and only if ?(?)∣?(?)a(x)∣b(x)and ?(?)∣?(?)b(x)∣a(x). Q5 (4 points) (i) Show that a non-zero polynomial in Zp[x] has exactly p - 1 associates. a(x), b(x) E R[x]. Prove that a(x) b(x) are associates of each other if and only if a(x) | b(x) (ii) Let R be a field, 0 and b(x)...
Problem B-2. Prove that the matrices AAT and AT A have the same set of non-zero...

Problem B-2. Prove that the matrices AAT and AT A have the same set of non-zero eigen- values. (Hint: consider the singular value decomposition of A)

4. (10pt) Prove Ỳ, the vector of fitted values, is normally distributed with mean XB and variance oʻX(X'X)-'X'.

4. (10pt) Prove Ỳ, the vector of fitted values, is normally distributed with mean XB and variance oʻX(X'X)-'X'.