Use part (iii) of the rank of a matrix by row reduction theorem to find the rank of the given matrix. 1-2 2-4 5 1 35 rank(A) = A =

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: If A is 4x4 matrix with det(A)=10, find det (24-¹A), det (A²).

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Q: For the matrix A = 4    5    8                               2     3    6…

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Q: If A is a 3x3 matrix and det(A) = 7, what is det(2A)?

A: Solution :-  Given : A is a 3×3 matrix               And det(A) =7

Q: Two matrices A and B and two numbers c and d are given. Compute the matrix CA A = CA + dB = 6 -4 9 4…

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Q: What is the rank of the matrix A = 2 1 5 -1 2 -5 0 3? -3

A: See this solution in below.

Q: Change the following matrix -1 -2 -6 A = 3 -1 3 17 3 3 -2 11

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Q: R={(2,1),(3,1),(3,2)} as a zero to one matrix

A: Given R = R=2,1,3,13,2  we have to write it as a zero-one matrix  A= 0001001103×3

Q: Table Q4(b) is generated from the function f(x)=e* – 4x² + B , where B is the last two digits of…

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Q: 2 2 1 6 4 4 1 10 88 8 -1 4 13 26 23

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Q: Use row reduction to transform the matrix into RREF 3 6 4 -5 3 -7 8 -5 8 3 -9 12 -9 6 15

A: The given matrix is: 03-664-53-78-5893-912-9615 The RREF is a reduced row echelon form of the matrix…

Q: If A is a 4 X 2 matrix, explain why the rows of A must be linearly dependent.

A: If A is a 4 x 2 matrix, then it has 4 rows and 2 columns. Each row can be thought of as a vector in…

Q: 32x+y -1 526 -1 x+4y 10

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Q: -4x – y – 6z = -39 -9x + 7y + 4z = 47 – 7x – 6y + z = -52

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Q: Q#2:-Find how many Even and Odd numbers inside the upper triangle of the secondary diagonal for…

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Q: Q1 (d): Find the rank of the matrix A. 1 0 5 0 1 -2 2 -2 -1 1 -6 3 -2 12 2 -3 0 2

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Q: Consider A = 112 0 1 2 (a) Find A-¹ by using row operations on [A1]. List the one you use in order.…

A: Given That : Matrix A=123112012 To Find : 1) A-1 using row operation 2) A-1 using row operation 3)…

Q: The reduced row echelon form of the matrix A is 2 0 0 0 1 0 0 0 1 Find three different such matrices…

A: The given matrix is 120001000. Multiply the first row by 2 and obtain 240001000. Multiply the second…

Q: The rank of the matrix A Number 1 2 3 4 5 6 IS

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Q: On the augmented matrix A below, perform all three row operations in the order given, ((a) followed…

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Q: (-1 7 -5 7. Let A = -4 11 -6). Diagonalize A if possible or explain why the matrix A is not -4 8 -3.…

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Q: add new column [0;0;0] to the matrix a[12 3, 45 6 ,7 8 9]. * Your answer

A: We have to add column [0;0;0] to the matrix a[1 2 3;4 5 6;7 8 9]

Q: Let matrix A = 1 1 1 3 2 1 −2 3 1 (a)Find two distinct row echelon forms of A. (b) Find the…

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Q: 4, 4, -7 -5 Compute 2(2A - 3B) if matrix A = and matrix B = %3D 3 - 4 2. 2(2A - 3B) = (Simplify your…

A: Multiply A by 2A=433-42A=2433-42A=866-8Multiply B by -3B=-7-52-4-3B=-3-7-52-4-3B=2115-612

Q: s this matrix in row-echelon form or reduced row-echelon form

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Q: (a) If 4-[a] is a 3x3 matrix; such that a -i (4-7), find the values of diagonal elements and the…

A: What is Matrix: If we arrange some elements, may be number or alphabets in rectangular array, the…

Q: If matrix [A] is a 5x5 matrix and a matrix [Z] is obtained by the row operations of replacing Rowl…

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