Find a matrix B such that AB = I, where 4 1 1 0 A = and I = -4 4 1 a b Hint: Let B c d B =

Q: Let A and B be square matrices of order 3 such that ∣A∣ = −2 and ∣B∣ = 5. Find (a) ∣BA∣, (b) ∣B4∣,…

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Q: decide whether or not the given matrix A is diagonalizable. If so, find an invertible matrix S and a…

A: We know that a square matrix A of order n is diagonalizable if it has n distinct eigen values. Given…

Q: Find the values of the unknown quantities for which each matrix is positive definite. 1 a A a 2 В 4…

A: According to our guidelines we can do atmost 3 subpart of a question. Please post the remaining as a…

Q: Find the matrix [T]s.a for T:P2 M22 where B= {1,x,x?}, B'= a+b b =| and T(a+ bx+ cx) C 2c

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Q: find DA and AD, if possible, where D = D,(3,0, 2, – 1) and A is the given %3D matrix. 21 1 31 0 1+i…

A: Given:  D=Dg3,0,2,−1=302−1, and A=2i013i01+i80−i10i1111 To find DA and AD if possible.

Q: Use the given information to find A. A-1 [$3 4 5 5 12 NOTE: Write the elements of the matrix…

A: Topic = Matrix

Q: The identity Matrix is defined by 1 а. 1 1 1. b. 0 1 1 C. 1 1 d. 1 1 Select one: а. с b. d С. а

A: Here we identify the identity matrix.

Q: * For the matrix A, find det A 1. A = = | 3 -2 1 [2 |1 -1. det A = 25 O det A = -2 O det A = 1 O det…

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Q: Use the matrix P to determine if the matrices A and A' are similar. 6 0 0 6 12 0 P =|0 5 0 0 0 2 6…

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Q: [d, 0 D =|0 d2 0 , and vector i = d3]

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Q: determine whether the given matrix A is diagonalizable. Where possible, find a matrix S such that…

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Q: Consider the following matrix A, and let B = A. Find b31, b32, and b33. (i.e., find the entries in…

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Q: Identify the two-by-two matrix with matrix elements ajj = i – j. a) » (: ) -1 0 1 c) -1 d)

A: Given that : Two -by-two order matrix     aij =  i - j      where   i = 1,2…

Q: * For the matrix shown, calculate - 1 1 6 3 4 1 2A , where A = 1 3

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Q: Find the matrix E so that EB=C, where |1 a2 az 0 B2 B3 a1 a2 dz B= b, b, b, & C= |C1 C2 C3 with a,+0…

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Q: Q/ A seume where I .4.3 A = and yasaxニメ+I 3. unit Matrix, Find YCA) ? is 526

A: Solution: The objective is to find y(A)

Q: Find a 2 x 2 matrix B + 0 and B + 1, such that AB = BA, where A How many such matri- 2 ces B are…

A: Given data: The matrix is given by "A". A=1221 Consider the matrix "B". B=abcd According to the…

Q: Determine the matrix if it is a linear combination of O A.c = 5; d = 8 O B. c = -5;d =8 O C.c = 8; d…

A: 12cd = a1-1-1-1 +b3159 + m41611 + n-1234 Therefore, we get a+3b+4m-n = 1…

Q: * ( For the matrix shown find (- 3 A 3 - 1 4 1 A = %3D 1 1 6.

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Q: Let B = {b1, b2} and C = {c1, c2} be two bases for R², where [1 C2 7 3 3 b1 b2 3 10 22 b7 what is…

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Q: Given the following matrix, find the ADJOINT. 1 1 [2 C = |1 1 1 l1 -1 2.

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Q: Use the matrix P to show that the matrices A and A′ are similar.

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Q: Use A-1 =(1/detA)adj A to compute the in­verse of the coefficient matrix x + y = 1   x-y=2

A: x+y=1 x-y=2 We need to find the inverse using A-1 =(1/detA)adj A

Q: Given the following bases for R², find P,the change of coordinates matrix from B to C. C-B 8. -10 7…

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Q: find DA and AD, if possible, where D = D,(3,0,2,-1) and A is the given matrix. 21 1 31 0 1+i 8 0 1 1…

A: The given matrices are A=2i013i01+i80-i10i1111and D=300000000020000-1 As order of both the matrices…

Q: Find the matrix E so that EB=C, where a, a, a, B= b, b, b, & C= 1 а, а, 0 8, 8,

A: Given that the matrix B ad C To find the matrix E so that EB=C with a1 is not equal to zero.

Q: Find the values of a,b, and c so that that following matrix is symmetric. 2а + b + c' (2 a – 2b + 2c…

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Q: Let A and B be square matrices of order 4 such that |A| = 2 and |B| = 3. Find the following. (a)…

A: Given |A|=2 and |B|=3. The objective is to find the following.

Q: Find a formula in terms of k for the entries of A", where A is the diagonalizable matrix below and…

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Q: Let A be a 4 x 4 matrix with |adj(A) = -8, then 2A.adj(2A) - (where 1, is 4 x 4 identity matrix)…

A: Given that: A is a 4x4 matrix.                       |adj(A)|=-8

Q: Are the two matrices similar? If so, find a matrix P such that B = P−1AP.

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Q: Let A be an m×n matrix, X an n×r matrix, and B an m × r matrix. Show that AX = B if and only if Axj…

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Q: Find all a and p> 0 so that the matrix 4 1 28 5 4 B 2 a A = is strictly diagonally dominant. 0 < 3…

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Q: decide whether or not the given matrix A is diagonalizable. If so, find an invertible matrix S and a…

A: Consider the given matrix: Here the objective is to check whether the given matrix is…

Q: Find a formula in terms of k for the entries of A, where A is the diagonalizable matrix below and…

A: Find a formula in terms of &amp; for the enties of where is the diagonalzable matrix below and PA-D…

Q: Let A be a 4 x 4 matrix with det (A) = 1. What is det(2A)? a) 1 b) 2 c) 4 d) 8 e) 16

A: By using determinant property, we calculate the required result.

Q: Given Matric C, find Matrix C 40.1 22.9 154.9 C = 78.6 21.9 88.9

A: the transpose of a matrix is obtained by changing its rows into columns and its columns to rows…

Q: Let A be 3x3 matrix where det(-A) = 2 2007 let B =030 Then det(A BAB) = L004 Answer:

A: Properties of determinant: det(-A)=-det(A)det(A-1)=1det(A)det(AB)=det(A)·det(B)det(An)=(det(A))n If…

Q: Let A and B be square matrices of order 4 such that ∣A∣ = 4 and ∣B∣ = 2. Find (a) ∣BA∣, (b) ∣B2∣,…

A: Let A and B be square matrices of order 4 such that ∣A∣ = 4 and ∣B∣ = 2. We need to Find (a) ∣BA∣,…

Q: d. Find D, a diagonal matrix A is similar to. Find C such that CAC = D. e.

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Q: Compute Aº, A-³, and A² – 2A+ I. 2 A = 7 3 NOTE: Write the elements of each matrix exactly. A³ : ? ?…

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Q: For beams q(x) = [N]{q}. The matrix [B] is defined as [B] = (d/ds)[N] = [B1, B2, B3, B4]. Select the…

A: Using Eigen values,and Fourier formula is integral of -(12s-6)

Q: For each given symmetric matrix A, find a diagonal matrix D that is congruent to A.

A: For each given symmetric matrix A, find a diagonal matrix D that is congruent to A. (a) A=-100011011…

Q: Find the matrix A such that 1 0 A = -1 -2 9. 7 11 a b Hint: Let A = c d A =

A: If two matrix are equal then all elements of matrices are equal. In this question first we find…

Q: Multiply the two matrices, T = AB, and enter the number in position t21 of the resulting matrix T. 2…

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Q: For given symmetric matrix A, find a diagonal matrix D that is congruent to A.

A: Given :      Symmetric matrix A   To find:           A diagonal matrix D that is congruent to A.

Q: find DA and AD, if possible, where D = D,(3, 0, 2, – 1) and A is the given matrix. 2i 1 31 0 1+i 8 0…

A: Diagonal matrix is given by D=300000000020000-1 Since, both matrices A and D are 4×4. Therefore,…

Q: Given matrix A = (2 /3 |−1/5) and that h(T) = T2 − 2T − 7, find h(T).

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Q: Let B = {b1, b2} and C = {c1, c2} be two bases for R, where %3D bị b2 C1 = C2 = 8 b1 what is the…

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Q: Given the following bases for R?, find _P the change of coordinates matrix from B to C. CEB 22 C = 2…

A: We have  PC←B= 08-4-9  and  vB = 28. We have to find  vC .

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.