For every real m x n matriz mx m) and a diagonal m x n matriz

Q: Show that Sn is solvable when n ≤ 4.

A: Given: Sn. We have to show that Sn is solvable when n≤4.

Q: 8. There are several norms of practical importance on the vector space of ordered n- tuples of…

A: (i) Consider the n-tuple x=ξ1, ξ2, …, ξn with the norm x1=ξ1+ξ2+…+ξn. (N1) To verify x1≥0 for all x.…

Q: Suppose s and t are distinct natural numbers. Show that lcm(s, t) + lcm(s+1, t+1) > 2st/(sqr(|s −…

A: Given: s and t are distinct natural numbersTo prove: lcm(s, t)+lcm(s+1, t+1)>2sts-t

Q: Let X={a,b,c,d), f = ((a,b),(b,a),(c,c),(d,d)}CX×X, and g= ((a,d),(b,a),(c,b),(d,c)}CX×X. Find gof.…

A: Use the definition of composition of functions to solve this problem as in next step.

Q: In (Z24, €) find the orders of the elements 3, 4, 6, 7, and 18.

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

Q: Let a and b be integers so that (a, b) = 1. Prove that (a + b, a – b) divides 2.

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Q: df Catx) is expandad

A:

Q: Find the sub spaces of row A, Column A, null A. Find rank A

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Q: Determine if v is in the set spanned by the columns

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Q: Let x) 4 and gx)-x-3. Find the foilowing lock

A: To find the following expressions

Q: Verify that there is no magic square of order 2.

A: We will verify that there is no magic square of order 2 using the proof by contradiction.

Q: If A and B are symmetric matrices which of the following are true: (i) A – B is symmetric. - (ii) AB…

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Q: 2. Factor. a) 4-8x b) 9mn - 12n c) 6x2 - 5x

A: According to our guidelines, In case of questions with multiple subparts we are supposed to answer…

Q: State and Prove Pick’s Theorem.

A: Let P⊂ℝ2 be a polygon with all vertices on lattice points on the grid Z2. Let  I be the number of…

Q: A2

A: Consider the matrix A is, A=0100 Apply the condition, A2 = O. 0100·0100=0000 The matrix A is…

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

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

Q: Find the product of x and y if x, 3/2, 6/7, y  are in G.P

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Q: Show that if AB={0}, then P(A)≤P(B).

A: Given that

Q: 1. Solve the equations below. Show your work. a.) x2 – 14x + 45 = 0 b.) 3x2 – 2x - 5 = 0

A: As per our company guidelines we are supposed to answer only one question kindly post other question…

Q: Let A {a, b} and B = {1, 2}. Give an element of A x B x A.

A: Let M and N be two sets. The Cartesian product, M×N is the set of all possible ordered pairs with…

Q: Find an expression, in factored form, for the perimeter of the figure. 5х+4 X+2 The perimeter of the…

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Q: ow that every positive interger can be written as the product or a sqaure and a square free interge

A: To show that every positive integer can be written as the product of a square of an integer and a…

Q: how that ℝ3 = span( 1 1 2 1 2 1 0 3 -1

A: We want to show that  any vector can be written as linear combination of the three  given vectors…

Q: Please compute x and y such that 117x + 17y = gcd(117,17), 52x + 56y = gcd(52,56), and 123x + 126y =…

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Q: Let [A1, A2], [B1, B2], [C1, C2] be 3 married couples who attended a concert.  Show that the number…

A: Consider that G is the group of females and B is the group of males.This two group of G and B can be…

Q: Find a number z (except 0) such that Az³ + Bz²+ Cz = D 2 1 3 0 -2 -4 00 ^-[ ] ³-R2 :]-[+]-[1] B= 1 2…

A: Solution