You're given these two elementary matrices E1 =    1 0 0 1/9     ,  E2 =    1 4 0 1   Let's say that B is a 2 × 2 matrix such that E2 E1 A = I2 . Then how would you find the matrix B?

Q: Find three different 2 x 2 matrices such that det(F) = 8 and tr(F) -4. %3D I need a hint Answers:

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Q: Solve the matrix equation AX = B, where 12 2 A= 0 2 1 B=0 2 21 2 13

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Q: 4 1 34. The rank of the matrix A = 2 -1 is -7 -14 4 8 -1 (A) 1 (B) 2 (C) 3 (D) 0 (E) 4

A: To find The rank of a given matrix A.

Q: A B D 5 -3 -5 3 Consider the matrix A - -4 -3 -31 1 0 4 4 ܝ ܀ What is the value of x so that A =…

A: To find out the value of x , we first find the adjoint of the given matrix. Then using the given…

Q: Given the matrix A = A³ = [4 0 find 4³.

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Q: -2 4 1 0 3 7 For the matrix B = what is the value of |B|? A. 8 B. 2 C. 4 D. -5 433

A: Given that, the matrix is B=1-24103373. Note that, the term B represents the determinant of B.

Q: \o _ 0 0 1|-9 -1 6 -7/ \o _ 0 0 1-9 -1 6 -7/ -3 0 2 -2 -1 1 A-1 1 1 1 -- 2 -9 -1 6 -7

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Q: 1. Consider the following matrix: 17 3 1/3 -2 10 4 21 -12 -5 1/2 T e? 33 100 -17 16 1/4 -1 4 A = 1/2…

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Q: For the matrix A = 2 3 20 06 7 3 what is the value of |A|?

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Q: 6 Consider the matrices A = ( = (³₁ 5), B = ( 1 2 ) and C = (%) 6 i) Find the matrix product AB. ii)…

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Q: Solve for the inverse of the given matrix by definition A*A1 = A 1*A = | 1 7 -5 |A| -2 -3 6. %D 4 8…

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Q: Please help with #5!

A: If the matrices, P, Q are invertible, then it can be written that PQ-1=Q-1P-1 .

Q: The matrix A =1 −1 1 −1 has the property that A2 = O. Is it possible for a nonzero symmetric 2 × 2…

A: Given, The matrix                  has the property that A2 = 0.

Q: Find (1-A) for the given matrix A. 3 2 -4-2 A= (1-A)1= (Simplify your answer.)

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Q: The inverse of the matrix -2 -2 A = -69 -5 is A-1 b11 b12 %3D b21 b22 where b11 = %3D b12 = b21 = II

A: Given matrix is A=−2−2−9−5 We have to find the invers of the matrix A−1=b11b12b21b22. First find the…

Q: 1 1 1 145 156 004 multiplied by D on the right or on the left. Find a 3x3 matrix B, not the identity…

A: Product of two matrix is possible when number of columns of first matrix is equal to number of rows…

Q: Use the elementary matrix E to find EA using an elementary row operation. 8 E = 1 A = -5 4 6. 1 -3…

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Q: Find 2 X 2 matrices A 0 and B # 0 such that AB = 0. Can you find a matrix A + 0 such that A2 = 0?

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Q: b. Determine whether the statement is true or false and justify your answer. Determine which of the…

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Q: Let A be a 2 x 1-matrix and B be al x 3-matrix such that -1 2 AB = -3 -3 What is z and y? number (5…

A: We are give A is of order 2×1 and B is of order 1×3 we will first take arbitrary A and B then by…

Q: -2 For the matrix B = 1 what is the value of |B|? 13 A. 8 B. - 2 C. D. - 5 4 33 4.

A: The given matrix is

Q: Find the row reduced echelon  matrix R and invertible matrix P such : R = PA             -1     1…

A: The given matrix is: A=-11-10-34114-6-4-2310-14. To find row reduced echelon form of given matrix,…

Q: 14. Which statements are true, and which are false? If the statement is false, provide a specific…

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Q: Solve the matrix equation for x -2 1 4 3 2 -1 -1 X = | 6 7 8 9. %3D 1 1 -4 1 3 7 9.

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Q: Find the elementary matrix E₁ such that E₁A = B where A = 8 9 1 7 -17 −1 18 1 10 and B = 18 7 8 1…

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Q: A = C = 4 6 1 3 2 3 1 0 0 2 B D 2 5 3 7 10 20 30 20 10 0

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Q: If A and B are 2 × 2 matrices, det (A) = 1, det(B) = 4, then det (AB) = 4 det (-2A): det (A¹) = 1…

A: If A and B are 2*2 matrices, det(A) = 1, det(B)= 4, then  Find det(-2A).

Q: 1 For the matrix A = 2 3 -2 0 7 4 6 3, what is the value of |A|?

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Q: pls answer within 30 minutes

A: Given that the matrix equation 2345xy=hk   This is in the form Ax=b Here A=2345 , x=xy , b=hk    .

Q: Solve the matrix equation AX = B for X. X= A = 1 1 42 B = 2 3 5 10

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Q: -1 1 Verify that the matrix A = 3 is diagonalizable; 4 -2 5

A: We will use condition for matrix to be diagonalizable

Q: [4 -2 2 A = 2 2 -2 4 Step 6: Find the matrix P-1. a Answer: P-1 de f g h i First row of P1: a= -1 ,…

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Q: Q2. Please solve question and show steps. Thanks.

A: For the matrix-A=⎣⎢⎡​1−23​010​102​⎦⎥⎤​A−1=⎣⎢⎡​−2−43​010​121​⎦⎥⎤​So option (d) is…

Q: GIVEN THE EQUATION 1 の 15 31 3 0 A 3. 6 ニ WRITE A-' AS A PRODUCT OF ELEMENTARY MATRICES

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Q: The population of a community is known to increase at a rate proportional to the number of people…

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Q: 21 4 1. Find the inverse of the matrix A= 3 5 1 2 0 6

A: Please refer to the image below.