1. (a) The matrix I = is called an matrix. (b) If A is a 2 x 2 matrix, then A X I = and IXA = (c) If A and B are 2 x 2 matrices with AB = I, then B is the of A.

Q: Consider the following matrix A-( ) %3D If the cigenvalues of matrix A are 4 and 8, then r = 5, y =8…

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Q: |8 3 | 2 7 al, where a is tity matrix, its %D

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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: If A is a 5 x 6 matrix and the sum A + B can be computed, what is the size of B?

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Q: The matrix is not invertible for what value of x 2 1 1 1 31

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Q: Demonstrate that A A-1 = A-1 A = I

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Q: If C is a matrix of 6 x 6 and the matrix equation C x = v is consistent for every v in R®, is it…

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Q: A is an m x p matrix, B is a p x k matrix, and C is a k x n matrix. Show that A or (B or C) = (A or…

A: Introduction: Matrix multiplication is divided into two types: Scalar Matrix Multiplication, in…

Q: 4 2 If A is a non-singular matrix whose inverse is find A. 1 - 2 -1] -1] 1 В. -1 1/2 С. -1/2 1 D. |…

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Q: 2. Analyze first the given matrix and identify the most appropriate tool to use and why. -1 2 4 3 2…

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Q: What does it mean to say that A is a matrix with dimension m x n?

A: Our Aim is to tell that what is meant by a matrix A which is havingdimension m×n.

Q: For any two 3 x 3 matrices A and B, we have (А + B)(А — В) — А? — АВ + ВА - В?

A: Given statement: For any two 3×3 matrices A and B, we have

Q: 3. If A, B and C are matrices with orders, 3 X 3, 2 X 3 and 4 X 2, respectively, which of the…

A: Note: There are many subparts in the question. So I will answer the first three subparts.…

Q: If A is an nxn invertible matrix, then det(A-1) is equal to O det (A)-"det(adj(A)) O None of these…

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Q: 2 Discuss whether the matrix A 1 2 0 is diagonalizable or not. -3 5 2 ||

A: A matrix is said to diagonalizable if for every eigen value's algebraic multiplicity is equal to its…

Q: If A = [1 2 3], which type of the given matrix A ?

A: Given Matrix A=[1  2  3 ]1×3  Here number of row=1  Number of columns=3

Q: (1) Let A be a px5 matrix, B be amx 4 matrix. If AB is a 7xq matrix, then p= , m=_

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Q: 6. If A is a 4 x 2 matrix and B is a 3 x 2 matrix, what is the size of ABT?

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Q: (A) IF A 2 ー3 - 6 6 3 -9 and B-4 is (A.B) null matrix.

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: (6) If A is 3 × 3 nonsingular matrix, then A is row equivalent to 1 0 01 (a) |0 Lo o ol 0 01 1 [1…

A: A matrix is said to be singular if the determinant of the matrix is zero. So is the matrix is non…

Q: If C is a matrix of 6 x 6 and the matrix equation C x = v is consistent for every v in R°, is it…

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Q: 4. Compute (A-1) and (A-I)°, where A is a square matrix and I is the identity matrix

A: I have append the the formula used and concept in the solution part for your convenience.

Q: If A is a 4×6 matrix and the dim Nul A​=3,what is dim Col A​? Justify your answer.

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Q: -1 - 3 7 Let A 1 and A 2 be two matrices in M2. = -6 4 7 Choose the matrix that belongs to span {A…

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Q: If A is a 3 x3 matrix and det(A) =-3, what is det(4A)?

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Q: 2. Solve for x and y in the matrix equation below: 3 4 y x-y 4 2 1 [10 3 -1] 3 -1 1 4 x -8 2 6x -9…

A: Topic:- Matrix  x=1 and y= -2

Q: Let A, B, and C be invertible matrices. Then (4A-1B"C²)-1 is equal to c--(B")-1A equal to the above…

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Q: If the characteristic poynomial ofa matrix A is der 21 -A)= -32°+32°+2 then det(2.4) =

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Q: 1 2 Compute the adjoint matrix of A 3 2 2 2 3 Select one: a. -7 4 -5 7 -7 -5 3 -1 -2 %3D -7 -5 41 d.…

A: We have given a matrix and we have to find the adjoint of A.

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

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Q: The order of the single matrix obtained from 1 1 -1 To 1 23 is 1 0 21 -1 0 2 2 0 3 2 (a) 2 x 3

A: Here the order of the matrix needs to find out for both terms. Subtraction and addition won't affect…

Q: If AB is a 4 x 2 matrix and B is a 1 × 2 matrix, then the size of matrix A is

A: We can multiply two matrices only when the number of column in the first matrix must be equal to…

Q: 2. Solve for x and y in the matrix equation below: x-y 4 2 [10 3 -1 4 3 -1] 1 2 4 x -8 2 6x -9 -3 3x…

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Q: ریاضيات هندسية )1( نظري 3 1 Compute the adjoint matrix of A: 3 2 2 1 2 3 Select one: 4 a. -7 0. 4 -5…

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Q: If A = 1 y and the transpose of the matrix is equal to the inverse of the matrix then y =

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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: If 4 [a] is a 3x3 matrix, such that ay i (2m-j) then the diagonal elements are

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Q: If the first two rows of a matrix A are equal and the matrix product AB is defined, then the first…

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

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Q: Ruèstion 12 If A, B and C , are matrices of order 4x3, 2x2 and 3x2 respectively, then the order of…

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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 the __________ of a matrix is p× q, then p represents the number of __________ and q represents…

A: If the order of a matrix is p x q, then p represents the number of rows and q represents the number…

Q: (A) IF A 2 1 -3 %3D and B= -6 16 3 -9 is (A.B) null matrix. 4

A: I am solving question1  for question 2 repost.

Q: 3. Suppose A is an m x n matrix whose rows are all identical and B is an n x p matrix whose columns…

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Q: 3. Determine the rank and nullity of the matrix -1 1 2 -1 1 A = (-1 -1 4 1 -3 -3.

A: Consider the following matrix: A=2-11-1-1-12141-3-3 Convert matrix A to row echelon form:…

Q: (3 (4") *) If A is 3 x 3 matrix with det (A) = 3, find det %3D

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Q: If A is a 6×1 matrix and the sum A+B can be computed, what is the size of B?

A: Matrix addition. If A and B are matrices of the same size, then they can be added. (This is similar…

Q: 1. Use matrix inversion to solve for x, y, and z if: x + 2y + 2z = −1 y − x − z = 0 2z + 3y + 3x = 1

A: see below the answer