linear math final test.docx
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Người gửi: Hoàng Thị Hoa (trang riêng)
Ngày gửi: 19h:08' 07-07-2020
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Nguồn:
Người gửi: Hoàng Thị Hoa (trang riêng)
Ngày gửi: 19h:08' 07-07-2020
Dung lượng: 115.9 KB
Số lượt tải: 0
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HA NOI UNIVERSITY OF MINING AND GEOLOGY
Faculty of Mathematics
FINAL TEST
Subject: Math22A
Total time: 60 minutes
TEST CODE: 01
Problem 1. Find the value of x satisfying the following equality
.
Problem 2. Find the values of a and b such that the following simultaneously linear equations has infinitely roots
Problem 3. Given a mapping defined by
.
Prove that f is a linear transformation.
Find the Kernel of f.
Problem 4. Diagonalize the following matrix
.
HA NOI UNIVERSITY OF MINING AND GEOLOGY
Faculty of Mathematics
FINAL TEST
Subject: Math22A
Total time: 60 minutes
TEST CODE: 01
Problem 1. Find the value of x satisfying the following equality
.
Problem 2. Find the values of a and b such that the following simultaneously linear equations has infinitely roots
Problem 3. Given a mapping defined by
.
Prove that f is a linear transformation.
Find the Kernel of f.
Problem 4. Diagonalize the following matrix
.
HA NOI UNIVERSITY OF MINING AND GEOLOGY
Faculty of Mathematics
FINAL TEST
Subject: Math22A
Total time: 60 minutes
TEST CODE: 02
Problem 1. Find the value of x satisfying the following equality
.
Problem 2. Find the values of a and b such that the following simultaneously linear equations has infinitely roots
Problem 3. Given a mapping defined by
.
Prove that f is a linear transformation.
Find the Range of f.
Problem 4. Diagonalize the following matrix
.
HA NOI UNIVERSITY OF MINING AND GEOLOGY
Faculty of Mathematics
FINAL TEST
Subject: Math22A
Total time: 60 minutes
TEST CODE: 02
Problem 1. Find the value of x satisfying the following equality
.
Problem 2. Find the values of a and b such that the following simultaneously linear equations has infinitely roots
Problem 3. Given a mapping defined by
.
Prove that f is a linear transformation.
Find the Range of f.
Problem 4. Diagonalize the following matrix
.
HA NOI UNIVERSITY OF MINING AND GEOLOGY
Faculty of Mathematics
FINAL TEST
Subject: Math22A
Total time: 60 minutes
TEST CODE: 03
Problem 1. Find the value of x satisfying the following equality
.
Problem 2. Find the values of a and b such that the following simultaneously linear equations has infinitely roots
Problem 3. Given a mapping defined by
.
Prove that f is a linear transformation.
Find the Kernel of f.
Problem 4. Diagonalize the following matrix
.
HA NOI UNIVERSITY OF MINING AND GEOLOGY
Faculty of Mathematics
FINAL TEST
Subject: Math22A
Total time: 60 minutes
TEST CODE: 03
Problem 1. Find the value of x satisfying the following equality
.
Problem 2. Find the values of a and b such that the following simultaneously linear equations has infinitely roots
Problem 3. Given a mapping defined by
.
Prove that f is a linear transformation.
Find the Kernel of f.
Problem 4. Diagonalize the following matrix
.
HA NOI UNIVERSITY OF MINING AND GEOLOGY
Faculty of Mathematics
FINAL TEST
Subject: Math22A
Total time: 60 minutes
TEST CODE: 04
Problem 1. Find the value of x satisfying the following equality
.
Problem 2. Find the values of a and b such that the following simultaneously linear equations has infinitely roots
Problem 3. Given a mapping defined by
.
Prove that f is a linear transformation.
Find the Range of f.
Problem 4. Diagonalize the following matrix
.
HA NOI UNIVERSITY OF MINING AND GEOLOGY
Faculty of Mathematics
FINAL TEST
Subject: Math22A
Total time: 60 minutes
TEST CODE: 04
Problem 1. Find the value of x satisfying the following equality
.
Problem 2. Find the values of a and b such that the following simultaneously linear equations has infinitely roots
Problem 3. Given a mapping defined by
.
Prove that f is a linear transformation.
Find the Range of f.
Problem 4. Diagonalize the following matrix
.
HA NOI UNIVERSITY OF MINING AND GEOLOGY
Faculty of Mathematics
FINAL TEST
Subject: Math22A
Total time: 60 minutes
TEST CODE: 05
Problem 1. Find the value of x satisfying the following equality
.
Problem 2. Find the values of a and b such that the following simultaneously linear equations has infinitely roots
Problem 3. Given a mapping defined by
.
Prove that f is a linear transformation.
Find the Kernel of f.
Problem 4. Diagonalize the following matrix
.
HA NOI UNIVERSITY OF MINING AND GEOLOGY
Faculty of Mathematics
FINAL TEST
Subject: Math22A
Faculty of Mathematics
FINAL TEST
Subject: Math22A
Total time: 60 minutes
TEST CODE: 01
Problem 1. Find the value of x satisfying the following equality
.
Problem 2. Find the values of a and b such that the following simultaneously linear equations has infinitely roots
Problem 3. Given a mapping defined by
.
Prove that f is a linear transformation.
Find the Kernel of f.
Problem 4. Diagonalize the following matrix
.
HA NOI UNIVERSITY OF MINING AND GEOLOGY
Faculty of Mathematics
FINAL TEST
Subject: Math22A
Total time: 60 minutes
TEST CODE: 01
Problem 1. Find the value of x satisfying the following equality
.
Problem 2. Find the values of a and b such that the following simultaneously linear equations has infinitely roots
Problem 3. Given a mapping defined by
.
Prove that f is a linear transformation.
Find the Kernel of f.
Problem 4. Diagonalize the following matrix
.
HA NOI UNIVERSITY OF MINING AND GEOLOGY
Faculty of Mathematics
FINAL TEST
Subject: Math22A
Total time: 60 minutes
TEST CODE: 02
Problem 1. Find the value of x satisfying the following equality
.
Problem 2. Find the values of a and b such that the following simultaneously linear equations has infinitely roots
Problem 3. Given a mapping defined by
.
Prove that f is a linear transformation.
Find the Range of f.
Problem 4. Diagonalize the following matrix
.
HA NOI UNIVERSITY OF MINING AND GEOLOGY
Faculty of Mathematics
FINAL TEST
Subject: Math22A
Total time: 60 minutes
TEST CODE: 02
Problem 1. Find the value of x satisfying the following equality
.
Problem 2. Find the values of a and b such that the following simultaneously linear equations has infinitely roots
Problem 3. Given a mapping defined by
.
Prove that f is a linear transformation.
Find the Range of f.
Problem 4. Diagonalize the following matrix
.
HA NOI UNIVERSITY OF MINING AND GEOLOGY
Faculty of Mathematics
FINAL TEST
Subject: Math22A
Total time: 60 minutes
TEST CODE: 03
Problem 1. Find the value of x satisfying the following equality
.
Problem 2. Find the values of a and b such that the following simultaneously linear equations has infinitely roots
Problem 3. Given a mapping defined by
.
Prove that f is a linear transformation.
Find the Kernel of f.
Problem 4. Diagonalize the following matrix
.
HA NOI UNIVERSITY OF MINING AND GEOLOGY
Faculty of Mathematics
FINAL TEST
Subject: Math22A
Total time: 60 minutes
TEST CODE: 03
Problem 1. Find the value of x satisfying the following equality
.
Problem 2. Find the values of a and b such that the following simultaneously linear equations has infinitely roots
Problem 3. Given a mapping defined by
.
Prove that f is a linear transformation.
Find the Kernel of f.
Problem 4. Diagonalize the following matrix
.
HA NOI UNIVERSITY OF MINING AND GEOLOGY
Faculty of Mathematics
FINAL TEST
Subject: Math22A
Total time: 60 minutes
TEST CODE: 04
Problem 1. Find the value of x satisfying the following equality
.
Problem 2. Find the values of a and b such that the following simultaneously linear equations has infinitely roots
Problem 3. Given a mapping defined by
.
Prove that f is a linear transformation.
Find the Range of f.
Problem 4. Diagonalize the following matrix
.
HA NOI UNIVERSITY OF MINING AND GEOLOGY
Faculty of Mathematics
FINAL TEST
Subject: Math22A
Total time: 60 minutes
TEST CODE: 04
Problem 1. Find the value of x satisfying the following equality
.
Problem 2. Find the values of a and b such that the following simultaneously linear equations has infinitely roots
Problem 3. Given a mapping defined by
.
Prove that f is a linear transformation.
Find the Range of f.
Problem 4. Diagonalize the following matrix
.
HA NOI UNIVERSITY OF MINING AND GEOLOGY
Faculty of Mathematics
FINAL TEST
Subject: Math22A
Total time: 60 minutes
TEST CODE: 05
Problem 1. Find the value of x satisfying the following equality
.
Problem 2. Find the values of a and b such that the following simultaneously linear equations has infinitely roots
Problem 3. Given a mapping defined by
.
Prove that f is a linear transformation.
Find the Kernel of f.
Problem 4. Diagonalize the following matrix
.
HA NOI UNIVERSITY OF MINING AND GEOLOGY
Faculty of Mathematics
FINAL TEST
Subject: Math22A