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

Q: Prove that 1 1 16 ≤ (a+b+c+d) = + = + b + ax (²=²+ + + + + + + ² + 1 = 0) d for all positive numbers…

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Q: Prove that (ab + cd)² ≤ (a² + c²)(b² + ď²) for all a, b, c, d ɛ R.

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Q: 13. Find the intersection of [x, y, z)=[-8,-3,-5]+[1,2,-1] and [x. v.]=[1.9,4]+s[2,1,7].

A: We can find the intersection of the curve .

Q: . Let a, b € Z so that 4a + 5b is a multiple of 13. Prove that 13 divides 9a + 8b.

A: We have to show that 13 divides 9a+8b To prove this we using 4a+5b divisible by 13

Q: Submit through Canvas as indicated. T u = (2,-5) and v= −3i+7j

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Q: C. Show that both R and R² may be covered by countably many open balls.

A: Firstly we have shown that R may be covered by countably many open balls. Let us  consider the set…

Q: Prove that: (5a + 6b|a, b = Z} = Z

A: To prove that .Concepts used:Consider two sets  and . To prove that , we first need to show and…

Q: Let a, b, q, r E Z and assume that a and b are not both zero and b and r are not both zero. Show…

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Q: df Catx) is expandad

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Q: To activate lower left subgraph of a 2 X 2 grid, which of the following statements will be used? O a…

A: Given:  2 X 2 grid

Q: If A is diagonalizable then A is diagonalizable. Select one: True False

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Q: Show that is isomorphic to Z2.

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

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Q: If A has a row or column consisting entirely of zeros, then Select one: a. A is nonsingular b. A is…

A: Given: A is row or column consisting entirely of zeros .

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

A: To find the following expressions

Q: Prove that the point 2a +b-c, 5a -b+ 2c and 8a – 3b+5c are collinear.

A: Given, 3 vectors or points, A(2,1,-1) B(5,-1,2) C(8,-3,5)

Q: H3 H4 45 45 40 H1 H6 30 75 75 20 25 H5 40 H2 45 100 90 45 80 H7 H10 50 15 H8

A: Given: A graph with 10 nodes. To find the minimal distance from H1 to any of the other nodes.

Q: Pls help ASAP. pls show all work and steps. Pls circle the final answer

A: Step 1: To solve the given problems, we just have to use the fact that the exponential functions and…

Q: Set f(a,b) = (1+ a + b) + (2 + 2a + b)x + (1 + a + 26)r² and F = {f(a, b) : a,b e R} a subset of…

A: Given that fa,b=1+a+b+2+2a+bx+1+a+2bx2 and F=fa,b : a,b∈ℝ is a subset of ℝ2x. The objective is to…

Q: a3 and b Let a₁ a2 Determine whether b can be written as a linear combination of a₁, 32, and a3. In…

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Q: Prove that ABCD is a square if A(1,3), B(2,0), C(5,1) and D(4,4).

A: Consider the graph shown below:

Q: Suppose y E span{X₁, X₂}. Explain why span{x₁, x2, y} = span{X₁, X₂}.

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Q: If a = 315 and b = 60 then find the following: 1) Find gcd(a, b) "use Euclidean algorithm" 2) Write…

A: Given that, a=315, b=60 1) By using Euclidean algorithm,  315=60×5+1560=15×4+0 GCD (315, 60)= 15

Q: If x > 0, prove that T - In (1+ x) > 2+2x

A: Using derivative

Q: Show that both R and R² may be covered by countably many open balls.

A:

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

A: Given that

Q: Count the number of 1- and 2-dimensional faces in an arrangement of n planes in general position in…

A: Given: 1-and 2-dimensional faces in an arrangements of n planes in general position in ℝ3 To count:…

Q: Prove that ABCD is a square

A: If ABCD  is a square then length of all the sides will be equal, That means. AB=BC=CD=DA.  To find…

Q: Let A={2,y,z} and B={3,x,z}. How many distinct elements are in (A×B)∩(B×A)

A: Given, A={2,y,z} B={3,x,z} How many distinct elements are in (A×B)∩(B×A) ?

Q: H.w ) find the generated af: ty, 7s7z and Zg

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Q: Prove that cyclic parallelogram is a rectangle.

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Q: Let w = √√x + y²z³, x = 1 + u² + v², y = uv, and z = 3 Findow and w ди av

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Q: Let ü = 21 – k and i = i + 3j + k. Compute |ū], |ū], ū × ĩ, and Projzu.

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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…