Find the matrix A such that 1 0 A -2 -3 -1 3 -1 a b Hint: Let A = c d C A =

Q: ix A, find (if possible) a nonsingular matrix P such that P-AP -3 0 0. 15-4 4 0 5

A: Introduction: A square matrix A is diagonalizable in linear algebra if it is similar to a diagonal…

Q: Find the elementary matrix E such that EB = A where 2 -12 2 1 1 A = 4 0. -2 and B = 24 %3D | 6. -8 3…

A:

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 a matrix A such that the set below is Col A. r-3t r-4t : r, s, t real r-s s-4t A =

A: Column space of A, represented by Col A, is the set of linear combinations of elements of the matrix…

Q: Find the matrix D such that ADB = C and hence evaluate f(D-1) given that 4 -2 3 1 6. -6 6:2), c = (6…

A: d2+4d4=6⇒2d4+4d4=6   (d2=2d4)=6d4=6⇒d4=1⇒d2=22d2+8d3=8*2…

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

A:

Q: snip

A: Given, A=abcdD=ad-bc≠0

Q: Find the coordinate matrix of x in Rn relative to the basis B′.B′ = {(4, 0), (0, 3)}, x = (12, 6)

A: Given B′ = {(4, 0), (0, 3)}, x = (12, 6) Let the coordinate matrix of x in Rn relative to the basis…

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: Find f(B)

A:

Q: Determine whether the matrices are similar. If they are, find a matrix P such that A = P−1BP.

A: One of the properties of similar matrices is that they have the same determinant. This is diagonal…

Q: Find a matrix B such that AB = I, where 6 1 A = 1 0 0 1 and I = -6 6 a b Hint: Let B =c d

A:

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…

A:

Q: Let p(x) = x³ – 2x + 4 and compute p(A). | | 1 A = |0 -3 0. NOTE: Write the elements of the matrix…

A: Here we find the p(A).

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…

A:

Q: Let the matrix below be Anti-symmetric. What is x + y+z =? 0 0 1 1 A = 2 y -1 -2 1 N N

A:

Q: Let [ 2 A = 6 -1 and B = %3D Find an elementary matrix E such that EA=B.

A: An elementary matrix is one which differs from the identity matrix by one elementary row operation.

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

A: The coefficient matrix is, Now,

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…

A:

Q: Write B as a linear combination of the other matrices, if possible. (If not, enter DNE in all…

A:

Q: Use the matrix P to determine if the matrices A and A' are similar. 6 0 0 P= 0 3 6 12 0 6 6 0 A = 6.…

A:

Q: Find the specified change-of-coordinates matrix. Let B= {b1, b2) and C= {c, c2) be bases for R?,…

A:

Q: Let A = [ 3*0 .8 = [ Jand C = [14-0 Jand c = [1* | Find the matrix X, if 8+0 -10 A? + 3X =C |B|

A:

Q: Find a formula in terms of k for the entries of A", where A is the diagonalizable matrix below. - 15…

A:

Q: Find a matrix B such that AB = I, where [ ] 8 1 1 0 A = and I = -8 8 0 1 1 a b Hint: Let B = %3D c d…

A:

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

A:

Q: Find an invertible matrix P and a diagonal matrix D such that PAP-D. -6-3 9 A = 5 2 -5 -3 -3 6 3x3…

A: For this problem, first we will find out the eigenvalues of A and corresponding eigenvectors. Then…

Q: Evaluate the element a31 in the matrix A given by: a11 012 a13 A = a21 a22 a23 031 032 a33 where: A…

A:

Q: Use the matrix P to determine if the matrices A and A' are similar. -1 -1 15 9. 6. 2 P = -20 -14 0…

A:

Q: Let A be the matrix 4 2 7 6 Find p(A). p(x) = x – 2x + 4 i i p(A) =

A:

Q: Find the matrix A if 3 (АT — 21) -1 1 2 2 -2 -2 1 (c) А %—D - (а) А (b) A = %3D -1 1 11 -1 5 [ 1 -2…

A:

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

A:

Q: 2] find 1 -1 3 - If A = and B 1 |3| -2 (а) ЗА — В. - (b) The matrix X such that 3A – B+ 3X = 0. ||…

A: As per guideline we have to solve only three parts

Q: Find an invertible matrix P and a diagonal matrix D such that PAP=D. -16 -27 0 A = 10 17 0 -19 -27 3…

A:

Q: Which of the following matrixA such that A =A 01 0. 13 a. C. 4. b. d. 0.

A: We will find the matrix.

Q: Find the elementary matrix E such that E A B where | 7 A = -15 -1 and B = 16 16 9. -15

A: The solution is given as

Q: Let A be the matrix 8 Find p(A). p(x) = x – 2x + 4 i p(A) =

A:

Q: Let A and B be 3 x 3 matrices such that A 3 = B 6 l10. The matrix C = A – 2B is invertible. [5. (A)…

A:

Q: Find a matrix A such that 2A-3B+5C=0 -2 Where B= 2 0 3 1 4 [2 0 -2 andC = 7 1 6

A:

Q: Use the matrix P to determine if the matrices A and A' are similar. 40 0 P = 0 3 0 4 8 0 A = 4 6 0 6…

A:

Q: Let A be the matrix 5 3 2 Find p(A). p(x) = x³ – 2x + 4 p(A) =

A: Given: A=5312 and p(x)=x3-2x+4.

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: Let A be the matrix find p(A). (a) p(x) = x - 2 3 20 2

A: Let A be the matrix such thatA=3121To find pA if px=x-2

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: 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 a formula in terms of k for the entries of A*, where A is the diagonalizable matrix below. -5 6…

A: NOTE: Refresh your page if you can't see any equations. .

Q: O Prove that if a matrix A satisfies A² = A, then I — 2A = (I — 2A)−¹.

A:

Q: Use the matrix P to determine if the matrices A and A' are similar. -1 -1 15 6 12 14 P = A = [$]1₁…

A:

Q: Let A be a 3 x 3 matrix such that det(A) = 12. Suppose B is obtained from A by applying the…

A: We have to find the  det(B).

Q: Find all a and B> 0 so that the matrix 4 a 28 5 4 2 is strictly diagonally dominant.

A: In a diagonally dominant square matrix, the magnitude of the element corresponding to the diagonal,…

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.