If the columns of the matrix A = -1 are orthogonal, then -1 Oa. a O b. a = -2 %3D O c. a = -1 O d. a = 1 %3D Clear my choice 2. 2]

Q: Find the specified change-of-coordinates matrix. Let B = {b₁,b2} and C = {₁, 2} be bases for Ⓡ²,…

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Q: The matrix for a one-to-one linear transformation from \R^4 to \R^3

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Q: If a 2 × 2 matrix A is non-invertible, then the image of the unit square under the linear…

A: False Reason : Here the image of unit square image

Q: Let A be a 4×5 matrix with 4 pivots. Do the columns of A span R4? Do they span R5? Justify your…

A: As A is a 4 x 5 matrix with 4 pivots so, it has a pivot in its every row. So, yes the columns of A…

Q: We call a matrix B a square root of A if B2 = A.

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Q: Describe and compare the solution sets of x₁ + 2x₂ - 5x3 = 0 and x₁ + 2x₂ - 5x3 = -3. Describe the…

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Q: Determine the matrix if it is a linear combination of O A.c = 5; d = 8 O B. c = -5;d =8 O C.c = 8; d…

A: 12cd = a1-1-1-1 +b3159 + m41611 + n-1234 Therefore, we get a+3b+4m-n = 1…

Q: 10. Solve the matrix equation. 1 1 6 6 2 1 2 4 A) 4 2 1 -2 10 8 10 1 В) D) -4 -4 -2 -2 10 2 4 00

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Q: [2 Given that; a=1, b=2, c=0, d=1 Explain why the matrix a b c d is not diagonalisable.

A: Here the given matrix Let x be tha eigen value of A matrix Then

Q: a) Consider the matrices A and B: 4 -3 A =-2 7 1 8 6. -5 B = -3 -2 Which element is in row 2, column…

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Q: Diagonalize the following matrix. 8 10 P = D= -3 - -3 - P-¹ = E

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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.