1 4 3 2 1 0 3 1 1 2 1 4 5 32 0 1 2 0 1 Consider the block matrix A = What are the dimensions of A21? Ex: 5 What are the dimensions of A12?

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: -2 6. What is the diagonal matrix Find an orthogonal matrix Q that diagonalizes A = 6. A?

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Q: 4 2 0 70 all oene tril(A, -1)+ eye(4). The third row of the matrix B is: Given the matrix A: 1 2 -1…

A: Let A = 1111111111111111 tril(A,-1) = 0000100011001110eye(4) = 1000010000100001

Q: REI [1.5 5 -151 2 30 -1 2 1 .5 and C= [-2]. -.5 16. For this problem, let A = a) Use your calculator…

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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: Original Matrix -2 5 1 New Row-Equivalent Matrix 18 [": 0-34 4-1 -7 -7 O Add 6 times Row 2 to Row 1.…

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Q: 1. Find A-¹ using elementary row operation to the augmented matrix. Let A = -2 10 0 0 4 2 -6 -12

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Q: Ex. 600. Given the 2x2 Matrix A 1 2 11 3 Determine B=A+A and C=A-A Answers:…

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Q: a) Using elementary row operations 1 (ERO), convert matrix A = 3 2 to matrix 3 B = 2 4 1 Is it…

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Q: Determine the dimension of the matrix. -3 7 15 0 5 0 3 3 4 1 67

A: It is required to find the dimensions of the given matrices.

Q: 9. Do the columns of the matrix A = 7. span R

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Q: 2 1 -1 3 1 9. Calculate the rank of the matrix P = | 2 1 2 0 3 1 1 1 |-1 -5 -3 -7 3|

A: P=210-131212003111-1-5-3-73

Q: 2 Consider the matrix below. What is the value of 2a11 – 3a22+ a32 =? - 5 A = (aj) -1 3 -1 b) 4 d)…

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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: 3. Let [1 2 3 A = |4 5 6 7 8 9 (a) What is Aēj? Present it as a linear combination of the columns of…

A: Given

Q: 8 -16 20 4 -12

A: Follow the procedure given below.

Q: 14511) 9684 \७ । । 12. 13 lo 3 Find the row space, column space and null space of the matrix A- Also…

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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: 2. Find the rank of the matrix 1 3 4 5 8 9. 10 11 12 13 14 15 16

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Q: How to make this matrix diagonally dominant?

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Q: Find the minors and co-factors of C2, C2, C, C3, C23 of the given matrix 7 -12 A = 8 -5 11 -9 -1 -19

A: We know Minor, Mij is the determinant of the matrix obtained by deleting ith row and jth column…

Q: 1. Find A¹ using elementary row operation to the augmented matrix Let A = -2 2 10 0 0 4 2 -6 -12

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Q: Let A, B and C be the matrices A= 0 -7 8 0 0 2 Calculate |ABC). 20 -1 -24 √20 0 Vào 00 CH c-{" 0 1…

A: Given, A=15-10-78002,B=-200-120-2401'C=100001103010

Q: How many pivot columns does the following matrix have? 3. 1 0 2 1 -1 0 1 0 1 2 04 03 02 01

A: Here in the given question we have to find the number of pivot columns the matrix have.

Q: The malrix A= had 43 charactersitic polynómial p(2) =2?-62+5 ニ show that the mastrix equastion PCA)…

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