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Determinants Worksheet: Math Problems & Solutions

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Q. If
then
find the value of k, a and b,
[CBSE 2021]
Q. If
then
find the value of k, a and b,
[CBSE 2021]
Solution
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priyam_harsh
Q. Find the maximum value of
[CBSE 2016]
Q. Find the maximum value of
[CBSE 2016]
Solution
Q. If
then find
the value of x.
[CBSE 2013]
Q. If
then find
the value of x.
[CBSE 2013]
Solution
Q. For
[CBSE 2020]
Q. For
[CBSE 2020]
Solution
Q. If for any 2 × 2 square matrix A,
then write the
value of |A|.
[CBSE 2017]
Q. If for any 2 × 2 square matrix A,
then write the
value of |A|.
[CBSE 2017]
Solution
2 markers
Q. If
then find
the value of p.
[CBSE 2019]
Q. If
then find
the value of p.
[CBSE 2019]
Q. If
then find
the value of p.
[CBSE 2019]
Solution
Q. Given
compute A-1
and show that
[CBSE 2018]
Q. Given
compute A-1
and show that
[CBSE 2018]
Q. Given
compute A-1
and show that
[CBSE 2018]
Solution
Q. Find the adjoint of the matrix
and hence show that
[CBSE 2015]
Q. Find the adjoint of the matrix
and hence show that
[CBSE 2015]
Q. Find the adjoint of the matrix
and hence show that
[CBSE 2015]
Solution
Solution
Solution
Q. If
verify that (AB)-1 = B-1A-1.
[CBSE 2015]
Q. If
verify that (AB)-1 = B-1A-1.
[CBSE 2015]
Q. If
verify that (AB)-1 = B-1A-1.
[CBSE 2015]
Solution
Solution
6 markers
Q. If
then find A-1.
Using A-1,solve the following system of
equations: 2x - 3y + 5z = 11,
3x + 2y - 4z = -5,
x + y - 2z = -3
[CBSE 2020, 2018]
Q. If
then find A-1.
Using A-1,solve the following system of
equations: 2x - 3y + 5z = 11,
3x + 2y - 4z = -5,
x + y - 2z = -3
[CBSE 2020, 2018]
Q. If
then find A-1.
Using A-1,solve the following system of
equations: 2x - 3y + 5z = 11,
3x + 2y - 4z = -5,
x + y - 2z = -3
[CBSE 2020, 2018]
Q. If
then find A-1.
Using A-1,solve the following system of
equations: 2x - 3y + 5z = 11,
3x + 2y - 4z = -5,
x + y - 2z = -3
[CBSE 2020, 2018]
Solution
Solution
Solution
Q. Determine the product of
and then use
to solve the system of equations
x - y + z = 4,
x - 2y - 2z = 9
and 2x + y + 3z = 1.
[CBSE 2017, 2012]
Q. Determine the product of
and then use
to solve the system of equations
x - y + z = 4,
x - 2y - 2z = 9
and 2x + y + 3z = 1.
[CBSE 2017, 2012]
Q. Determine the product of
and then use
to solve the system of equations
x - y + z = 4,
x - 2y - 2z = 9
and 2x + y + 3z = 1.
[CBSE 2017, 2012]
Q. Determine the product of
and then use
to solve the system of equations
x - y + z = 4,
x - 2y - 2z = 9
and 2x + y + 3z = 1.
[CBSE 2017, 2012]
Solution
Solution
Q. A total amount of ₹ 7000 is deposited in
three different saving bank accounts with
annual interest rates of 5%, 8% and
%,
respectively. The total annual interest from
these three accounts is ₹ 550. Equal
amounts have been deposited in the 5% and
8% saving accounts. Find the amount
deposited in each of the three accounts,
with the help of matrices.
[CBSE 2014]
Q. A total amount of ₹ 7000 is deposited in
three different saving bank accounts with
annual interest rates of 5%, 8% and
%,
respectively. The total annual interest from
these three accounts is ₹ 550. Equal
amounts have been deposited in the 5% and
8% saving accounts. Find the amount
deposited in each of the three accounts,
with the help of matrices.
[CBSE 2014]
Q. A total amount of ₹ 7000 is deposited in
three different saving bank accounts with
annual interest rates of 5%, 8% and
%,
respectively. The total annual interest from
these three accounts is ₹ 550. Equal
amounts have been deposited in the 5% and
8% saving accounts. Find the amount
deposited in each of the three accounts,
with the help of matrices.
[CBSE 2014]
Q. A total amount of ₹ 7000 is deposited in
three different saving bank accounts with
annual interest rates of 5%, 8% and
%,
respectively. The total annual interest from
these three accounts is ₹ 550. Equal
amounts have been deposited in the 5% and
8% saving accounts. Find the amount
deposited in each of the three accounts,
with the help of matrices.
[CBSE 2014]
Q. A total amount of ₹ 7000 is deposited in
three different saving bank accounts with
annual interest rates of 5%, 8% and
%,
respectively. The total annual interest from
these three accounts is ₹ 550. Equal
amounts have been deposited in the 5% and
8% saving accounts. Find the amount
deposited in each of the three accounts,
with the help of matrices.
[CBSE 2014]
Solution
Let ₹x, ₹y and ₹z be invested in saving bank
accounts at the rate of 5%, 8% and
%,
respectively.
Then, according to given condition we have the
following system of equations.
x + y + z = 7000, …(i)
Solution
Solution
Solution
On comparing the corresponding elements, we
get x = 1125, y = 1125, z = 4750.
Hence, the amount deposited in each type of
account is ₹1125, ₹1125 and ₹4750, respectively.
Q. If
then the value of x is
[CBSE 2020]
A
3
B
0
C
-1
D
1
Q. If
then the value of x is
[CBSE 2020]
Solution
Q. If
then the value of x is
[CBSE 2020]
A
3
B
0
C
-1
D
1
Q. Let
|AB| is equal to
[CBSE 2020]
A
460
B
2000
C
3000
D
-7000
Q. Let
|AB| is equal to
[CBSE 2020]
Solution
Q. Let
|AB| is equal to
[CBSE 2020]
A
460
B
2000
C
3000
D
-7000
Q. If A is a square matrix of order 3, such that
A(adj = A) = 10I, then |adj A| is equal to
[CBSE 2020]
A
1
B
10
C
100
D
10I
Q. If A is a square matrix of order 3, such that
A(adj = A) = 10I, then |adj A| is equal to
[CBSE 2020]
Solution
Q. If A is a square matrix of order 3, such that
A(adj = A) = 10I, then |adj A| is equal to
[CBSE 2020]
A
1
B
10
C
100
D
10I
Q. If
and Q = PPT, then the
value of |Q| is
[CBSE 2020]
A
2
B
-2
C
1
D
0
Q. If
and Q = PPT, then the
value of |Q| is
[CBSE 2020]
Solution
Q. If
and Q = PPT, then the
value of |Q| is
[CBSE 2020]
A
2
B
-2
C
1
D
0
is singular, then 𝜆
Q. If matrix
is equal to
[CBSE 2020]
A
-2
B
-1
C
1
D
2
is singular, then 𝜆
Q. If matrix
is equal to
[CBSE 2020]
A
-2
B
-1
C
1
D
2
Solution
is singular, then 𝜆
Q. If matrix
is equal to
[CBSE 2020]
A
-2
B
-1
C
1
D
2
Q. Using matrix method, solve the following
system of equations
[CBSE 2011]
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Solution
8th Jan 2020-(Shift 1)
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