If A is 3 x 3 matrix with det (A) = 3, find det (3 O a. 33 O b. 1 О с. 32 O d. 3

Q: For matrix A, B if A – B = O, where O is a null matrix then * A = B B = 0 A = 0

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Q: • The Matrix B from 3 x 2 at by = 1- is 1. 3. 4. 1 -2

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Q: Let A, B, C be n x n matrices. Verify that (a) A is similar to A. (b) If A is similar to B and B is…

A: Given A, B, C be n × n matrices

Q: Let A be 2 x 2 matrix, if the matrix B results from A by adding 3 times the first row of A to the…

A: The objective is to find out the correct option.

Q: Which of the following matrices is elementary matrix? To 31 liol a. C. [2 01 d. [2 b.

A: Since your question has multiple subparts we have solved the first three subparts for you.  Identify…

Q: Suppose that A (A, then det(B)- Select one: A. 15 OB. 5. OC -15 ODO th ) is a (4 x 4) matrix, where…

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Q: || You are given that, for the (3, 3)-matrix A below, det(A) = 5. %3D a A = Then 4 a 4.b 4 c det 4 r…

A: 1) |kA|= kn|A|  Where , A is n×n square matrix and k is scalar factor .  2) If each element in a row…

Q: x+2] is an invertible matrix, t 4 LA 2х-3 х+1

A: If A is an invertible matrix than determinant of A is not equal to zero.

Q: If A is any matrix, to what is tr (AA T) equal?

A: Let A=[aij] be n X n matrix. Then  AT=[a'ij] where a'ij=aji Let C=AAT=[cij] , where

Q: 1. Find the inverse of the matrix, if it exists. |1 0 (c) 2 (a) 1 -1 1 2 1 | 1 1 | (d) 2 3 1 (b) 4 1…

A: Using formula of inverse matrix. According to Bartleby rule I am supposed to solve first 3 subparts.…

Q: Some of the entries of the 3 x 3 matrix A are known as A -1 1 If det (A) = -–6 and A-1 find x.

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Q: The rank of the matrix a = b = c is: 1 a b a² 6² 1 1 C where

A: Given :          matrix =[111abca2b2c2]Also given :  a=b≠c

Q: Let A be a 4 x 4 matrix with det(A) = −10. 1. If the matrix B is obtained from A by adding 7 times…

A: Given A be a 4×4 matrix with detA=-10

Q: Determine the solution for of the following matrix equation 45 OA -h--k 5 - 2h --k O B. 5 3 --+- 2…

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Q: Let A and B be 4 X 4 matrices with det A = 2 and det B =-1/4. Find det C for the indicated matrix C:…

A: Solution: Consider the given matrices A and B, 4x4 order with det A = 2 and det B = -1/4. And given…

Q: Let A, D, and P be n × n matrices satisfying AP = PD. Assume that P is nonsingular and solve this…

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Q: Let A, B, C be (3 x 3) matrices, such that det(A) = 2, det(B) = 7, det(C) = 1. What is the value of…

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Q: (4) Given matrix A = and that h(T) = T² – 2T – 7, find h(T).

A: We use properties of matrix

Q: If A is an nxn matrix and B is obtained from A by performing the following elementary row operations…

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Q: Are the two matrices similar? If so, find a matrix P such that B = P-'AP. (If not possible, enter…

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Q: m below using LL + = fr+ x+ 4.x, – 2x, = 4 9 = 'xp-+ x7+ of the matrix in a

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Q: (4) Given matrix A and that h(T) = T² – 2T – 7, find h(A). 5

A: Matrix Multiplication

Q: Show that if C and D are n×n row equivalent matrices, and Cx=0 has a non-trivial solution x !=0,…

A: Given that C and D are row equivalent matrices such that the system Cx=0 has a non trivial solution…

Q: (4) Given matrix A = 3 and that h(T) = T² – 2T – 7, find h(T).

A: see 2nd step.

Q: Are there values of r and s for which [ 1 0 r- 2 0 s- 4 r+2 | 3 has rank 1 or 2? If so, find those…

A: Let's find.

Q: by Di is 3 x 4, D2 is 4 x 7, D3 is 7 x 2, and v is a vector in R?. D,D2D3v is which is a (matrix,…

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Q: If A is n x n matrix and (I- A)² = I- A then O a. AT = A %3D O b. AT A = I O c. AAT = I Od. A? = A

A: We have to solve given problem:

Q: If A is the matrix -3 4 3 A 3D 4 3. 1 12 and if 1 u = and V = 3.

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Q: if A is a 3x3 matrix and det(3A^-1)=9, then det(A) is

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Q: Let A =mnd B- then the matrix (2AB + A")" is equal to O None of these O equal to the above 2 17

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Q: If A is an m x p matrix and B is a p x n matrix, then their product AB will be?

A: Two matrix can only be miltiplied if number of column of first matrix is equal to number of row of…

Q: Q4. In the iterative formula Gn+1 = D¯'(C – AG„), what 20 20 -1 -1 20 15/ -1 20 '15 20 0 20 (20 -1…

A: D is the diagonal matrix, G(n+1) is the (n+1)th iteration of the roots.

Q: If AT = A-1, where A is a real matrix, then A is

A: When transpose of A equal inverse of A , then A is

Q: (4) Given matrix A = ( ), and that h(T) = T² – 2T – 7, find h(T).

A:

Q: If a 4 by 4 matrix has det A = ½, find det(2A) and det(-A) and det(A2) and det(A-1 ).

A: Now,

Q: If A & B are 2 x 2 non-singular matrices, where A 2 3 7 4 . Calculate det (B)? 3 2 , AB = 1 2 OA. 4…

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Q: Suppose that A is a 3×3 matrix and det (A) = -4. What is det (4A)?

A: By Bartleby policy I have to solve only first one as these are all unrelated problems.These are all…

Q: f A and B are 6 × 3 matrices, and C is a 7 x 6 matrix, which of the following DA. BC В. А + С C. CB…

A: All the parts are solved below.

Q: Find both the sum and difefrence of Matrix A and В. (1 2 -1 '-s 5 9 k) A=0 1 2 B= 2 10 -9 4 2 -3) 6.…

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Q: 2. Solve for X in the given matrix equation (A – X) =B where A = 3 2 -1 ol and B = MIN2

A: We have to find X

Q: -2r If A = -3 is a singular matrix, then r= ±4 O ±4 O plus-or-minus 5

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Q: If A, B, and C are n x n invertible matrices, does the equation C-1(A + X)B¬ = In have a solution,…

A: Given A, B and C are n×n invertible matrices.

Q: Let A be an n xn matrix and B= A+1, where I is the identity matrix, then it is possible for A and B…

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Q: If det (A) = 0, then two of the columns of A are the same, where A is an n × n matrix. True

A: False

Q: Given that A is a 1 x 7 matrix and B is a 5 x 1 matrix. (a) Is AB defined? If so, what is the order…

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Q: Consider an n x p matrix A and a p x m matrix B. If ker(A)-im(B), what can you say about the produet…

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Q: For a 2 x 2 matrix A a |A| = d|

A: For the given 2 by 2 matrix A, a is multiplied by d and b is multiplied by c .

Q: Are there values of rand s for which i 0 0 r- 5 0 s-4 r+ 5 0 0 has rank 1 or 2? If so, find those…

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Q: If A is a 2 x 2 skew symmetric matrix, must det(A) = 0?

A: we have a 2×2 skew symmetric matrix.

Q: If A is a 3 x 3 matrix, then det(2A) = 2 det(A). O True O False « Previous Ne

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Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.